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Name: ________________________ Class: ___________________ Date: __________ ID: A 1 Geometry SIA #1 Practice Short Answer 1. What are the names of three collinear points? 2. What are the names of four coplanar points? 3. Name the line and plane shown in the diagram.

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Name: ________________________ Class: ___________________ Date: __________ ID: A

1

Geometry SIA #1 Practice

Short Answer

1. What are the names of three collinear points?

2. What are the names of four coplanar points?

3. Name the line and plane shown in the diagram.

Name: ________________________ ID: A

2

4. Are points B, J , and C collinear or noncollinear?

5. Are O, N , and P collinear? If so, name the line on which they lie.

6. Name the plane represented by the top of the box.

7. What are the names of three planes that contain point G?

8. Name the ray in the figure.

Name: ________________________ ID: A

3

9. What is the name of the ray that is opposite BD

?

10. What are the names of the segments in the figure?

11. Name the intersection of plane OAH and plane DAH.

12. What is the intersection of plane STXW and plane SVUT?

13. Name a fourth point in plane STZ.

Name: ________________________ ID: A

4

14. What plane contains points B, C, and G?

15. What is the length of AD?

16. If EF 12 and EG 27, find the value of FG. The drawing is not to scale.

17. If EF 5x 10, FG 43, and EG 123, find the value of x. The drawing is not to scale.

18. If EF 2x 6, FG 4x 12, and EG 18, find the values of x, EF, and FG. The drawing is not to scale.

19. What segment is congruent to BC ?

20. If Z is the midpoint of RT , what are x, RZ, and RT?

Name: ________________________ ID: A

5

21. Which point is the midpoint of AE?

22. If T is the midpoint of SU , what are ST, TU, and SU?

23. Judging by appearance, name an acute angle, an obtuse angle, and a right angle.

24. What are the measures of HBC and DBC? Classify each angle as acute, right, obtuse, or straight.

Name: ________________________ ID: A

6

25. Complete the statement.

DFG ?

26. Complete the statement.The drawing is not to scale.

If mDGF 56º, then mDEF ? .

27. If mAOC 25, mBOC 2x 10, and mAOB 4x 15, find the degree measure of BOC andAOB. The diagram is not to scale.

Name: ________________________ ID: A

7

28. If mDEF 124, then what are mFEG and mHEG? The diagram is not to scale.

29. If mEOF 23 and mFOG 30, then what is the measure of EOG? The diagram is not to scale.

30. Name an angle supplementary to EOA.

31. Name an angle complementary to DOC.

Name: ________________________ ID: A

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32. Name an angle vertical to DGH.

33. Name an angle adjacent to HGJ.

34. What can you conclude from the information in the diagram?

Name: ________________________ ID: A

9

35. The complement of an angle is 53°. What is the measure of the angle?

36. DFG and JKL are complementary angles. mDFG = x 4, and mJKL = x 6. Find the measure of each angle.

37. 1 and 2 are a linear pair. m1 x 35, and m2 x 77. Find the measure of each angle.

38. Angle A and angle B are a linear pair. If mA 3mB, find mA and mB.

39. SQ

bisects RST , and mRSQ 4x 8. Write an expression for RST . The diagram is not to scale.

40. MO

bisects LMN, mLMO 8x 28, and mNMO 2x 38. Solve for x and find mLMN. The diagram is not to scale.

41. MO

bisects LMN , mLMN 5x 21, mLMO x 30. Find mNMO. The diagram is not to scale.

Name: ________________________ ID: A

10

42. What is the value of x?

43. What is the value of x?

44. m4 27. Find m2.

Name: ________________________ ID: A

11

45. Find the values of x and y.

46. What four segments are parallel to plane JKPN?

47. What four segments are perpendicular to plane MRQL?

Name: ________________________ ID: A

12

Use the diagram to find the following.

48. Identify a pair of same-side interior angles.

49. What are three pairs of corresponding angles?

50. What is the relationship between 2 and 6?

Name: ________________________ ID: A

13

This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways.

51. How are 6 and 2 related?

52. If 8 measures 130, what is the sum of the measures of 1 and 4?

53. Line r is parallel to line t. Find m5. The diagram is not to scale.

54. Find mQ. The diagram is not to scale.

Name: ________________________ ID: A

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55. Find mG. The diagram is not to scale.

56. Find mP. The diagram is not to scale.

57. Find the value of x. The diagram is not to scale.

Name: ________________________ ID: A

15

58. Find the value of x. The diagram is not to scale.

59. Find the values of x and y. The diagram is not to scale.

60. Which lines are parallel if m4 m7? Justify your answer.

61. Find the value of x for which p is parallel to q, if m1 5x and m3 100.The diagram is not to scale.

Name: ________________________ ID: A

16

62. Find the value of x for which l is parallel to m. The diagram is not to scale.

63. Find the value of x for which l is parallel to m. The diagram is not to scale.

64. Each sheet of metal on a roof is perpendicular to the top line of the roof. What can you conclude about the relationship between the sheets of roofing? Justify your answer.

65. Find the value of k. The diagram is not to scale.

Name: ________________________ ID: A

17

66. Find the values of x, y, and z. The diagram is not to scale.

67. Find the value of x. The diagram is not to scale.

68. Find the value of x. The diagram is not to scale.

Given: SRT STR, mSRT 24, mSTU 4x

69. Find the value of x. The diagram is not to scale.

70. A triangular playground has angles with measures in the ratio 5 : 6 : 7. What is the measure of the smallest angle?

Name: ________________________ ID: A

18

71. The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 33 and m3 is 75. Find m1. The diagram is not to scale.

72. A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.

73. Justify the last two steps of the proof.

Given: AB DC and AC DBProve: ABC DCB

Proof:

1. AB DC 1. Given

2. AC DB 2. Given

3. BC CB 3. ?

4. ABC DCB 4. ?

Name: ________________________ ID: A

19

74. Name the angle included by the sides MP and PN .

75. What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

76. State whether ABC and AED are congruent. Justify your answer.

Name: ________________________ ID: A

20

77. Which triangles are congruent by ASA?

78. Which two triangles are congruent by ASA?

AF bisects EC , andAED FCD.

Name: ________________________ ID: A

21

79. What is the missing reason in the two-column proof?

Given: AC

bisects DAB and CA

bisects DCBProve: DAC BAC

Statements Reasons

1. AC

bisects DAB 1. Given2. DAC BAC 2. Definition of angle bisector

3. AC AC 3. Reflexive property

4. CA

bisects DCB 4. Given5. DCA BCA 5. Definition of angle bisector6. DAC BAC 6. ?

Name: ________________________ ID: A

22

80. Supply the reasons missing from the proof shown below.

Given: AB AC, BAD CAD

Prove: AD bisects BC

Statements Reasons

1. AB AC 1. Given

2. BAD CAD 2. Given

3. AD AD 3. Reflexive Property

4. BAD CAD 4. ?

5. BD CD 5. ?

6. AD bisects BC 6. Definition of segment bisector

81. What is the value of x?

Name: ________________________ ID: A

23

82. What is the value of x?

83. What is the value of x?

84. Find the value of x. The diagram is not to scale.

Given: RS ST , mRST 5x 11, mSTU 9x

85. Two sides of an equilateral triangle have lengths 3x 1 and 2x 4. Which could be the length of the third side: 13 x or 4x 5?

86. The legs of an isosceles triangle have lengths 2x 3 and 3x 28. The base has length 2x 2. What is the length of the base?

Name: ________________________ ID: A

24

87. Find the values of x and y.

88. In an A-frame house, the two congruent sides extend from the ground to form a 46° angle at the peak. What angle does each side form with the ground?

89. Find the value of x. The diagram is not to scale.

90. CB is a perpendicular bisector to AD at B between A and D. DAC ADC. By which of the five congruence statements, HL, AAS, ASA, SAS, and SSS, can you immediately conclude that ABC DBC?

91. Points B, D, and F are midpoints of the sides of ACE. EC = 38 and DF = 24. Find AC. The diagram is not to scale.

Name: ________________________ ID: A

25

92. Find the value of x.

93. Find the value of x. The diagram is not to scale.

94. B is the midpoint of AC , D is the midpoint of CE, and AE = 15. Find BD. The diagram is not to scale.

Name: ________________________ ID: A

26

95. Find the length of the midsegment. The diagram is not to scale.

96. Use the information in the diagram to determine the height of the tree. The diagram is not to scale.

97. Use the information in the diagram to determine the measure of the angle formed by the line from the point on the ground to the top of the building and the side of the building. The diagram is not to scale.

98. DF

bisects EDG. Find the value of x. The diagram is not to scale.

Name: ________________________ ID: A

27

99. Q is equidistant from the sides of TSR. Find mRST. The diagram is not to scale.

100. DF

bisects EDG. Find FG. The diagram is not to scale.

101. Q is equidistant from the sides of TSR. Find the value of x. The diagram is not to scale.

Name: ________________________ ID: A

28

102. Find the circumcenter of the triangle.

103. Find the circumcenter of EFG with E(4, 6), F(4, 2), and G(8, 2).

104. Find the length of AB, given that DB is a median of the triangle and AC = 56.

105. In ACE, G is the centroid and BE = 9. Find BG and GE.

106. In ABC, centroid D is on median AM . AD x 6 and DM 2x 6. Find AM.

Name: ________________________ ID: A

29

107. Name a median for CDE.

108. What is the name of the segment inside the large triangle?

109. Name the second largest of the four angles named in the figure (not drawn to scale) if the side included by 1 and 2 is 12 cm, the side included by 2 and 3 is 9 cm, and the side included by 3 and 1 is 17 cm.

110. mA 11x 4, mB 4x 11, and mC 63 4x. List the sides of ABC  in order from shortest to longest.

Name: ________________________ ID: A

30

111. List the sides in order from shortest to longest. The diagram is not to scale.

112. Two sides of a triangle have lengths 11 and 18. What must be true about the length of the third side?

113. What is the range of possible values for x?The diagram is not to scale.

Name: ________________________ ID: A

31

114. What is the range of possible values for x?The diagram is not to scale.

115. What is the range of possible values for x?

Name: ________________________ ID: A

32

116. What are the missing reasons in the two-column proof?Given: AD DC and mADB mBDCProve: AB BC

Statements Reasons1. AD DC 1. Given2. BD BD 2. ? 3. mADB mBDC 3. Given4. AB BC 4. ?

117. Find the values of the variables in the parallelogram. The diagram is not to scale.

118. In the parallelogram, mKLO 64 and mMLO 45. Find mKJM. The diagram is not to scale.

Name: ________________________ ID: A

33

119. In the parallelogram, mQRP 63 and mPRS 17. Find mPQR. The diagram is not to scale.

120. ABCD is a parallelogram. If mCDA 83, then mBCD ? . The diagram is not to scale.

121. For the parallelogram, if m2 4x 30 and m4 2x 6, find m1. The diagram is not to scale.

122. ABCD is a parallelogram. If mCDA 53, then mABC ? . The diagram is not to scale.

Name: ________________________ ID: A

34

123. In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 4, and HE = 5y + 3. Find the values of x and y. The diagram is not to scale.

124. Find AM in the parallelogram if PN =9 and AO = 4. The diagram is not to scale.

125. LMNO is a parallelogram. If NM = x + 39 and OL = 5x + 3, find the value of x and then find NM and OL.

126. In the figure, the horizontal lines are parallel and AB BC CD. Find JM. The diagram is not to scale.

Name: ________________________ ID: A

35

127. In the figure, the horizontal lines are parallel and AB BC CD. Find KL and FG. The diagram is not to scale.

ID: A

1

Geometry SIA #1 PracticeAnswer Section

SHORT ANSWER

1. ANS: Points C, A, and B are collinear.

PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: collinear | pointDOK: DOK 1

2. ANS: Points P, M , N , and C are coplanar.

PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: coplanar | pointDOK: DOK 1

3. ANS:

VW

and plane VWY

PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: line | planeDOK: DOK 1

4. ANS: collinear

PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: point | collinear pointsDOK: DOK 1

5. ANS: No, the three points are not collinear.

PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: point | line | collinear pointsDOK: DOK 1

ID: A

2

6. ANS: ACD

PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: planeDOK: DOK 1

7. ANS: planes ACEG, CDGH, and GHAB

PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: plane | pointDOK: DOK 2

8. ANS:

AB

PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 2 Naming Segments and Rays KEY: rayDOK: DOK 1

9. ANS:

BA

PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 2 Naming Segments and Rays KEY: ray | opposite raysDOK: DOK 1

10. ANS:

The three segments are AB, BC , and AC .

PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 2 Naming Segments and Rays KEY: segmentDOK: DOK 1

11. ANS:

AH

PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 3 Finding the Intersection of Two Planes KEY: plane | intersection of two planes | reasoning DOK: DOK 2

ID: A

3

12. ANS:

ST

PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 3 Finding the Intersection of Two Planes KEY: plane | intersection of two planesDOK: DOK 2

13. ANS: Y

PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 4 Using Postulate 1-4 KEY: point | plane DOK: DOK 2

14. ANS: The plane that passes at a slant through the figure.

PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1TOP: 1-2 Problem 4 Using Postulate 1-4 KEY: plane | point DOK: DOK 2

15. ANS: 15

PTS: 1 DIF: L2 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 Find and compare lengths of segments STA: MA.912.G.1.1TOP: 1-3 Problem 1 Measuring Segment Lengths KEY: segment | segment lengthDOK: DOK 2

16. ANS: 15

PTS: 1 DIF: L2 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 Find and compare lengths of segments STA: MA.912.G.1.1TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: segment | segment lengthDOK: DOK 1

17. ANS: x 14

PTS: 1 DIF: L3 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 Find and compare lengths of segments STA: MA.912.G.1.1TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: segment | segment lengthDOK: DOK 2

18. ANS: x = 6, EF = 6, FG = 12

PTS: 1 DIF: L4 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 Find and compare lengths of segments STA: MA.912.G.1.1TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: segment | segment lengthDOK: DOK 2

ID: A

4

19. ANS:

CD

PTS: 1 DIF: L3 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 Find and compare lengths of segments STA: MA.912.G.1.1TOP: 1-3 Problem 3 Comparing Segment Lengths KEY: segment length | segment DOK: DOK 2

20. ANS: x = 5, RZ = 30, and RT  = 60

PTS: 1 DIF: L3 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 Find and compare lengths of segments STA: MA.912.G.1.1TOP: 1-3 Problem 4 Using the Midpoint KEY: segment | segment length | midpoint DOK: DOK 2

21. ANS: D

PTS: 1 DIF: L2 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 Find and compare lengths of segments STA: MA.912.G.1.1TOP: 1-3 Problem 4 Using the Midpoint KEY: segment length | segment | midpointDOK: DOK 2

22. ANS: ST = 24, TU = 24, and SU = 48

PTS: 1 DIF: L4 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 Find and compare lengths of segments STA: MA.912.G.1.1TOP: 1-3 Problem 4 Using the Midpoint KEY: segment | segment length | midpoint | multi-part questionDOK: DOK 2

23. ANS: A, C, E

PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 Find and compare the measures of angles TOP: 1-4 Problem 2 Measuring and Classifying Angles KEY: acute angle | right angle | obtuse angle DOK: DOK 2

24. ANS: mHBC 36; HBC is acute.mDBC 164; DBC is obtuse.

PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 Find and compare the measures of angles TOP: 1-4 Problem 2 Measuring and Classifying Angles KEY: acute angle | right angle | obtuse angle DOK: DOK 2

ID: A

5

25. ANS: DFE

PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 Find and compare the measures of angles TOP: 1-4 Problem 3 Using Congruent Angles KEY: congruent anglesDOK: DOK 2

26. ANS: 56º

PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 Find and compare the measures of angles TOP: 1-4 Problem 3 Using Congruent Angles KEY: congruent anglesDOK: DOK 2

27. ANS: mBOC 20; mAOB 5

PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 Find and compare the measures of angles TOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition PostulateDOK: DOK 2

28. ANS: mFEG 56, mHEG 124

PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 Find and compare the measures of angles TOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition PostulateDOK: DOK 2

29. ANS: 53

PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 Find and compare the measures of angles TOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition PostulateDOK: DOK 2

30. ANS: AOC

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 1 Identifying Angle PairsKEY: supplementary angles DOK: DOK 1

ID: A

6

31. ANS: COB

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 1 Identifying Angle PairsKEY: supplementary angles DOK: DOK 1

32. ANS: JGF

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 1 Identifying Angle PairsKEY: vertical angles DOK: DOK 1

33. ANS: EGH

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 1 Identifying Angle PairsKEY: vertical angles DOK: DOK 1

34. ANS:

1. PQ RQ

2. TR TS3. TRS and PRQ are vertical angles

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 2 Making Conclusions From a DiagramKEY: vertical angles | supplementary angles | adjacent angles | right angle | congruent segmentsDOK: DOK 1

35. ANS: 37°

PTS: 1 DIF: L2 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 3 Finding Missing Angle MeasuresKEY: complementary angles DOK: DOK 1

36. ANS: DFG = 50, JKL = 40

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 3 Finding Missing Angle MeasuresKEY: complementary angles DOK: DOK 2

ID: A

7

37. ANS: 1 34, 2 146

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 3 Finding Missing Angle MeasuresKEY: supplementary angles| linear pair DOK: DOK 2

38. ANS: 135, 45

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 3 Finding Missing Angle MeasuresKEY: linear pair | supplementary angles DOK: DOK 2

39. ANS: 8x – 16

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures KEY: angle bisector DOK: DOK 2

40. ANS: x = 11, mLMN 120

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures KEY: angle bisector DOK: DOK 2

41. ANS: 57

PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measuresSTA: MA.912.G.4.2 TOP: 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures KEY: angle bisector DOK: DOK 2

42. ANS: 18

PTS: 1 DIF: L3 REF: 2-6 Proving Angles CongruentOBJ: 2-6.1 Prove and apply theorems about angles STA: MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5 TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: vertical angles | Vertical Angles Theorem DOK: DOK 2

ID: A

8

43. ANS: 36

PTS: 1 DIF: L2 REF: 2-6 Proving Angles CongruentOBJ: 2-6.1 Prove and apply theorems about angles STA: MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5 TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: vertical angles | Vertical Angles Theorem DOK: DOK 2

44. ANS: 27

PTS: 1 DIF: L2 REF: 2-6 Proving Angles CongruentOBJ: 2-6.1 Prove and apply theorems about angles STA: MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5 TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: Vertical Angles Theorem | vertical angles DOK: DOK 2

45. ANS: x = 15, y = 34

PTS: 1 DIF: L4 REF: 2-6 Proving Angles CongruentOBJ: 2-6.1 Prove and apply theorems about angles STA: MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5 TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: Vertical Angles Theorem | vertical angles | supplementary angles | multi-part questionDOK: DOK 2

46. ANS: segments ML, LQ, RQ, and MR

PTS: 1 DIF: L3 REF: 3-1 Lines and Angles OBJ: 3-1.1 Identify relationships between figures in space STA: MA.912.G.7.2TOP: 3-1 Problem 1 Identifying Nonintersecting Lines and Planes KEY: parallel | planes DOK: DOK 2

47. ANS: segments JM, KL, NR, and PQ

PTS: 1 DIF: L3 REF: 3-1 Lines and Angles OBJ: 3-1.1 Identify relationships between figures in space STA: MA.912.G.7.2TOP: 3-1 Problem 1 Identifying Nonintersecting Lines and Planes KEY: parallel | planes DOK: DOK 2

48. ANS: 3 and4

PTS: 1 DIF: L3 REF: 3-1 Lines and Angles OBJ: 3-1.2 Identify angles formed by two lines and a transversal STA: MA.912.G.7.2 TOP: 3-1 Problem 2 Identifying an Angle PairKEY: transversal | angle pair DOK: DOK 1

ID: A

9

49. ANS: angles 1 & 7, 8 & 6, and 3 & 5

PTS: 1 DIF: L3 REF: 3-1 Lines and Angles OBJ: 3-1.2 Identify angles formed by two lines and a transversal STA: MA.912.G.7.2 TOP: 3-1 Problem 2 Identifying an Angle PairKEY: angle pair | transversal DOK: DOK 1

50. ANS: corresponding angles

PTS: 1 DIF: L3 REF: 3-1 Lines and Angles OBJ: 3-1.2 Identify angles formed by two lines and a transversal STA: MA.912.G.7.2 TOP: 3-1 Problem 3 Classifying an Angle PairKEY: angle pair | transversal DOK: DOK 1

51. ANS: corresponding angles

PTS: 1 DIF: L2 REF: 3-1 Lines and Angles OBJ: 3-1.2 Identify angles formed by two lines and a transversal STA: MA.912.G.7.2 TOP: 3-1 Problem 3 Classifying an Angle PairKEY: parallel lines | transversal | angle DOK: DOK 1

52. ANS: 260

PTS: 1 DIF: L3 REF: 3-2 Properties of Parallel LinesOBJ: 3-2.2 Use properties of parallel lines to find angle measures STA: MA.912.G.1.3 TOP: 3-2 Problem 3 Finding Measures of AnglesKEY: parallel lines | transversal DOK: DOK 2

53. ANS: 133

PTS: 1 DIF: L3 REF: 3-2 Properties of Parallel LinesOBJ: 3-2.2 Use properties of parallel lines to find angle measures STA: MA.912.G.1.3 TOP: 3-2 Problem 1 Identifying Congruent AnglesKEY: parallel lines | alternate interior angles DOK: DOK 2

54. ANS: 80

PTS: 1 DIF: L4 REF: 3-2 Properties of Parallel LinesOBJ: 3-2.2 Use properties of parallel lines to find angle measures STA: MA.912.G.1.3 TOP: 3-2 Problem 3 Finding Measures of AnglesKEY: angle | parallel lines | transversal DOK: DOK 2

ID: A

10

55. ANS: 50º

PTS: 1 DIF: L3 REF: 3-2 Properties of Parallel LinesOBJ: 3-2.2 Use properties of parallel lines to find angle measures STA: MA.912.G.1.3 TOP: 3-2 Problem 3 Finding Measures of AnglesKEY: angle | parallel lines | transversal DOK: DOK 2

56. ANS: 69º

PTS: 1 DIF: L3 REF: 3-2 Properties of Parallel LinesOBJ: 3-2.2 Use properties of parallel lines to find angle measures STA: MA.912.G.1.3 TOP: 3-2 Problem 3 Finding Measures of AnglesKEY: angle | parallel lines | transversal DOK: DOK 2

57. ANS: 17

PTS: 1 DIF: L4 REF: 3-2 Properties of Parallel LinesOBJ: 3-2.2 Use properties of parallel lines to find angle measures STA: MA.912.G.1.3 TOP: 3-2 Problem 4 Using Algebra to Find an Angle MeasureKEY: corresponding angles | parallel lines | angle pairs DOK: DOK 2

58. ANS: 20

PTS: 1 DIF: L3 REF: 3-2 Properties of Parallel LinesOBJ: 3-2.2 Use properties of parallel lines to find angle measures STA: MA.912.G.1.3 TOP: 3-2 Problem 4 Using Algebra to Find an Angle MeasureKEY: corresponding angles | parallel lines | angle pairs DOK: DOK 2

59. ANS: x = 69, y = 54

PTS: 1 DIF: L4 REF: 3-2 Properties of Parallel LinesOBJ: 3-2.2 Use properties of parallel lines to find angle measures STA: MA.912.G.1.3 TOP: 3-2 Problem 4 Using Algebra to Find an Angle Measure | 3-1 Problem 1 Identifying Nonintersecting Lines and Planes KEY: corresponding angles | parallel lines DOK: DOK 2

60. ANS: l m, by the Converse of the Alternate Interior Angles Theorem

PTS: 1 DIF: L2 REF: 3-3 Proving Lines ParallelOBJ: 3-3.1 Determine whether two lines are parallel STA: MA.912.G.1.3| MA.912.G.8.5TOP: 3-3 Problem 1 Identifying Parallel Lines KEY: parallel lines | reasoningDOK: DOK 2

ID: A

11

61. ANS: 20

PTS: 1 DIF: L4 REF: 3-3 Proving Lines ParallelOBJ: 3-3.1 Determine whether two lines are parallel STA: MA.912.G.1.3| MA.912.G.8.5TOP: 3-3 Problem 4 Using Algebra KEY: parallel lines | angle pairsDOK: DOK 2

62. ANS: 34

PTS: 1 DIF: L4 REF: 3-3 Proving Lines ParallelOBJ: 3-3.1 Determine whether two lines are parallel STA: MA.912.G.1.3| MA.912.G.8.5TOP: 3-3 Problem 4 Using Algebra KEY: parallel lines | transversalDOK: DOK 2

63. ANS: 27

PTS: 1 DIF: L3 REF: 3-3 Proving Lines ParallelOBJ: 3-3.1 Determine whether two lines are parallel STA: MA.912.G.1.3| MA.912.G.8.5TOP: 3-3 Problem 4 Using Algebra KEY: parallel lines | transversalDOK: DOK 2

64. ANS: The sheets of metal are all parallel to the top line of the roof because if two lines are perpendicular to the same line, then they are parallel to each other.

PTS: 1 DIF: L3 REF: 3-4 Parallel and Perpendicular LinesOBJ: 3-4.1 Relate parallel and perpendicular lines STA: MA.912.G.1.3TOP: 3-4 Problem 1 Solving a Problem with Parallel Lines KEY: parallel | perpendicular | transversal | word problem | reasoning DOK: DOK 2

65. ANS: 80

PTS: 1 DIF: L2 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 Find measures of angles of triangles STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5 TOP: 3-5 Problem 1 Using the Triangle Angle-Sum Theorem KEY: triangle | sum of angles of a triangleDOK: DOK 2

66. ANS: x 82, y 66, z 98

PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 Find measures of angles of triangles STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5 TOP: 3-5 Problem 1 Using the Triangle Angle-Sum Theorem KEY: triangle | sum of angles of a triangleDOK: DOK 2

ID: A

12

67. ANS: 79

PTS: 1 DIF: L2 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 Find measures of angles of triangles STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5 TOP: 3-5 Problem 2 Using the Triangle Exterior Angle Theorem KEY: triangle | sum of angles of a triangle DOK: DOK 2

68. ANS: 39

PTS: 1 DIF: L4 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 Find measures of angles of triangles STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5 TOP: 3-5 Problem 2 Using the Triangle Exterior Angle Theorem KEY: exterior angle DOK: DOK 2

69. ANS: 15

PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 Find measures of angles of triangles STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5 TOP: 3-5 Problem 2 Using the Triangle Exterior Angle Theorem KEY: triangle | sum of angles of a triangle | vertical angles DOK: DOK 2

70. ANS: 50

PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 Find measures of angles of triangles STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5 TOP: 3-5 Problem 3 Applying the Triangle Theorems KEY: triangle | angle | word problemDOK: DOK 2

71. ANS: 108

PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 Find measures of angles of triangles STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5 TOP: 3-5 Problem 3 Applying the Triangle Theorems KEY: triangle | sum of angles of a triangle | word problem DOK: DOK 2

ID: A

13

72. ANS: 67

PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 Find measures of angles of triangles STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5 TOP: 3-5 Problem 3 Applying the Triangle Theorems KEY: triangle | sum of angles of a triangle | word problem | exterior angle theoremDOK: DOK 2

73. ANS: Reflexive Property of ; SSS

PTS: 1 DIF: L3 REF: 4-2 Triangle Congruence by SSS and SASOBJ: 4-2.1 Prove two triangles congruent using the SSS and SAS PostulatesSTA: MA.912.G.4.3| MA.912.G.4.6 TOP: 4-2 Problem 1 Using SSSKEY: SSS | reflexive property | proof DOK: DOK 2

74. ANS: P

PTS: 1 DIF: L2 REF: 4-2 Triangle Congruence by SSS and SASOBJ: 4-2.1 Prove two triangles congruent using the SSS and SAS PostulatesSTA: MA.912.G.4.3| MA.912.G.4.6 TOP: 4-2 Problem 2 Using SASKEY: angle DOK: DOK 1

75. ANS:

AC BD

PTS: 1 DIF: L4 REF: 4-2 Triangle Congruence by SSS and SASOBJ: 4-2.1 Prove two triangles congruent using the SSS and SAS PostulatesSTA: MA.912.G.4.3| MA.912.G.4.6 TOP: 4-2 Problem 2 Using SASKEY: SAS | reasoning DOK: DOK 2

76. ANS: yes, by either SSS or SAS

PTS: 1 DIF: L3 REF: 4-2 Triangle Congruence by SSS and SASOBJ: 4-2.1 Prove two triangles congruent using the SSS and SAS PostulatesSTA: MA.912.G.4.3| MA.912.G.4.6 TOP: 4-2 Problem 3 Identifying Congruent TrianglesKEY: SSS | SAS | reasoning DOK: DOK 2

77. ANS: HGF andABC

PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AASOBJ: 4-3.1 Prove two triangles congruent using the ASA Postulate and the AAS TheoremSTA: MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5 TOP: 4-3 Problem 1 Using ASAKEY: ASA DOK: DOK 1

ID: A

14

78. ANS: ADE andFDC

PTS: 1 DIF: L4 REF: 4-3 Triangle Congruence by ASA and AASOBJ: 4-3.1 Prove two triangles congruent using the ASA Postulate and the AAS TheoremSTA: MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5 TOP: 4-3 Problem 1 Using ASAKEY: ASA | vertical angles DOK: DOK 2

79. ANS: ASA Postulate

PTS: 1 DIF: L3 REF: 4-3 Triangle Congruence by ASA and AASOBJ: 4-3.1 Prove two triangles congruent using the ASA Postulate and the AAS TheoremSTA: MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5 TOP: 4-3 Problem 2 Writing a Proof Using ASA KEY: ASA | proofDOK: DOK 2

80. ANS: SAS; Corresp. parts of are .

PTS: 1 DIF: L4 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 1 Using the Isosceles Triangle TheoremsKEY: segment bisector | isosceles triangle | proof DOK: DOK 2

81. ANS: 69°

PTS: 1 DIF: L2 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 2 Using AlgebraKEY: isosceles triangle | Converse of Isosceles Triangle Theorem | Triangle Angle-Sum TheoremDOK: DOK 2

82. ANS: 32°

PTS: 1 DIF: L2 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 2 Using AlgebraKEY: isosceles triangle | Isosceles Triangle Theorem | Triangle Angle-Sum Theorem | word problemDOK: DOK 2

83. ANS: 36.5°

PTS: 1 DIF: L3 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 2 Using AlgebraKEY: Isosceles Triangle Theorem | Triangle Angle-Sum Theorem | isosceles triangleDOK: DOK 2

ID: A

15

84. ANS: 13

PTS: 1 DIF: L4 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 2 Using AlgebraKEY: Isosceles Triangle Theorem | isosceles triangle | problem solving | Triangle Angle-Sum TheoremDOK: DOK 2

85. ANS: 13 – x only

PTS: 1 DIF: L4 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 2 Using AlgebraKEY: equilateral triangle | word problem | problem solving DOK: DOK 3

86. ANS: 12

PTS: 1 DIF: L4 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 2 Using AlgebraKEY: isosceles triangle | Isosceles Triangle Theorem | word problem | problem solvingDOK: DOK 3

87. ANS: x 90, y 29

PTS: 1 DIF: L3 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 2 Using AlgebraKEY: angle bisector | isosceles triangle DOK: DOK 2

88. ANS: 67

PTS: 1 DIF: L2 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 3 Finding Angle MeasuresKEY: Isosceles Triangle Theorem | isosceles triangle | Triangle Angle-Sum Theorem | word problem | problem solving DOK: DOK 2

89. ANS: x 20

PTS: 1 DIF: L4 REF: 4-5 Isosceles and Equilateral TrianglesOBJ: 4-5.1 Use and apply properties of isosceles and equilateral trianglesSTA: MA.912.G.4.1 TOP: 4-5 Problem 3 Finding Angle MeasuresKEY: Isosceles Triangle Theorem | isosceles triangle DOK: DOK 2

ID: A

16

90. ANS: HL and AAS

PTS: 1 DIF: L3 REF: 4-6 Congruence in Right TrianglesOBJ: 4-6.1 Prove right triangles congruent using the Hypotenuse-Leg TheoremSTA: MA.912.G.2.3| MA.912.G.4.6| MA.912.G.5.4 TOP: 4-6 Problem 1 Using the HL Theorem KEY: right triangle | HL Theorem | ASA | SAS | AAS | SSS | proof | word problem | problem solving | reasoning DOK: DOK 2

91. ANS: 48

PTS: 1 DIF: L3 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Use properties of midsegments to solve problems STA: MA.912.G.1.1| MA.912.G.4.5TOP: 5-1 Problem 2 Finding Lengths KEY: midpoint | midsegment | Triangle Midsegment TheoremDOK: DOK 2

92. ANS: 7

PTS: 1 DIF: L3 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Use properties of midsegments to solve problems STA: MA.912.G.1.1| MA.912.G.4.5TOP: 5-1 Problem 2 Finding Lengths KEY: midpoint | midsegment | Triangle Midsegment TheoremDOK: DOK 2

93. ANS: 56

PTS: 1 DIF: L3 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Use properties of midsegments to solve problems STA: MA.912.G.1.1| MA.912.G.4.5TOP: 5-1 Problem 2 Finding Lengths KEY: midsegment | Triangle Midsegment TheoremDOK: DOK 2

94. ANS: 7.5

PTS: 1 DIF: L2 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Use properties of midsegments to solve problems STA: MA.912.G.1.1| MA.912.G.4.5TOP: 5-1 Problem 2 Finding Lengths KEY: midpoint | midsegment | Triangle Midsegment TheoremDOK: DOK 2

95. ANS: 18

PTS: 1 DIF: L4 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Use properties of midsegments to solve problems STA: MA.912.G.1.1| MA.912.G.4.5TOP: 5-1 Problem 2 Finding Lengths KEY: midsegment | Triangle Midsegment TheoremDOK: DOK 2

ID: A

17

96. ANS: 65 ft

PTS: 1 DIF: L3 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Use properties of midsegments to solve problems STA: MA.912.G.1.1| MA.912.G.4.5TOP: 5-1 Problem 3 Using a Midsegment of a Triangle KEY: midsegment | Triangle Midsegment Theorem | problem solving DOK: DOK 1

97. ANS: 42º

PTS: 1 DIF: L3 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Use properties of midsegments to solve problems STA: MA.912.G.1.1| MA.912.G.4.5TOP: 5-1 Problem 3 Using a Midsegment of a Triangle KEY: midsegment | Triangle Midsegment Theorem | problem solving DOK: DOK 1

98. ANS: 20

PTS: 1 DIF: L3 REF: 5-2 Perpendicular and Angle BisectorsOBJ: 5-2.1 Use properties of perpendicular bisectors and angle bisectorsSTA: MA.912.G.4.2 TOP: 5-2 Problem 3 Using the Angle Bisector TheoremKEY: Angle Bisector Theorem | angle bisector DOK: DOK 2

99. ANS: 22

PTS: 1 DIF: L3 REF: 5-2 Perpendicular and Angle BisectorsOBJ: 5-2.1 Use properties of perpendicular bisectors and angle bisectorsSTA: MA.912.G.4.2 TOP: 5-2 Problem 3 Using the Angle Bisector TheoremKEY: Converse of the Angle Bisector Theorem | angle bisector DOK: DOK 2

100. ANS: 17

PTS: 1 DIF: L3 REF: 5-2 Perpendicular and Angle BisectorsOBJ: 5-2.1 Use properties of perpendicular bisectors and angle bisectorsSTA: MA.912.G.4.2 TOP: 5-2 Problem 3 Using the Angle Bisector TheoremKEY: angle bisector | Angle Bisector Theorem DOK: DOK 2

101. ANS: 5

PTS: 1 DIF: L2 REF: 5-2 Perpendicular and Angle BisectorsOBJ: 5-2.1 Use properties of perpendicular bisectors and angle bisectorsSTA: MA.912.G.4.2 TOP: 5-2 Problem 3 Using the Angle Bisector TheoremKEY: angle bisector | Converse of the Angle Bisector Theorem DOK: DOK 2

ID: A

18

102. ANS: (1, 2)

PTS: 1 DIF: L3 REF: 5-3 Bisectors in TrianglesOBJ: 5-3.1 Identify properties of perpendicular bisectors and angle bisectorsSTA: MA.912.G.1.1| MA.912.G.4.2| MA.912.G.6.1 TOP: 5-3 Problem 1 Finding the Circumcenter of a Triangle KEY: circumscribe | circumcenter of the triangle DOK: DOK 2

103. ANS: (6, 4)

PTS: 1 DIF: L3 REF: 5-3 Bisectors in TrianglesOBJ: 5-3.1 Identify properties of perpendicular bisectors and angle bisectorsSTA: MA.912.G.1.1| MA.912.G.4.2| MA.912.G.6.1 TOP: 5-3 Problem 1 Finding the Circumcenter of a Triangle KEY: circumcenter of the triangle | circumscribe DOK: DOK 2

104. ANS: 28

PTS: 1 DIF: L2 REF: 5-4 Medians and AltitudesOBJ: 5-4.1 Identify properties of medians and altitudes of a triangle STA: MA.912.G.4.2| MA.912.G.4.5 TOP: 5-4 Problem 1 Finding the Length of a MedianKEY: median of a triangle DOK: DOK 1

105. ANS: BG 3, GE 6

PTS: 1 DIF: L3 REF: 5-4 Medians and AltitudesOBJ: 5-4.1 Identify properties of medians and altitudes of a triangle STA: MA.912.G.4.2| MA.912.G.4.5 TOP: 5-4 Problem 1 Finding the Length of a MedianKEY: centroid | median of a triangle DOK: DOK 1

106. ANS: 18

PTS: 1 DIF: L4 REF: 5-4 Medians and AltitudesOBJ: 5-4.1 Identify properties of medians and altitudes of a triangle STA: MA.912.G.4.2| MA.912.G.4.5 TOP: 5-4 Problem 1 Finding the Length of a MedianKEY: centroid | median of a triangle DOK: DOK 2

107. ANS:

DF

PTS: 1 DIF: L3 REF: 5-4 Medians and AltitudesOBJ: 5-4.1 Identify properties of medians and altitudes of a triangle STA: MA.912.G.4.2| MA.912.G.4.5 TOP: 5-4 Problem 2 Identifying Medians and AltitudesKEY: median of a triangle DOK: DOK 1

ID: A

19

108. ANS: angle bisector

PTS: 1 DIF: L2 REF: 5-4 Medians and AltitudesOBJ: 5-4.1 Identify properties of medians and altitudes of a triangle STA: MA.912.G.4.2| MA.912.G.4.5 TOP: 5-4 Problem 2 Identifying Medians and AltitudesKEY: altitude of a triangle | angle bisector | perpendicular bisector | midsegment | median of a triangleDOK: DOK 1

109. ANS: 2

PTS: 1 DIF: L4 REF: 5-6 Inequalities in One TriangleOBJ: 5-6.1 Use inequalities involving angles and sides of triangles STA: MA.912.G.4.7 TOP: 5-6 Problem 2 Using Theorem 5-10KEY: corollary to the Triangle Exterior Angle Theorem DOK: DOK 2

110. ANS:

AB; AC; BC

PTS: 1 DIF: L4 REF: 5-6 Inequalities in One TriangleOBJ: 5-6.1 Use inequalities involving angles and sides of triangles STA: MA.912.G.4.7 TOP: 5-6 Problem 3 Using Theorem 5-11KEY: multi-part question DOK: DOK 2

111. ANS:

LJ , JK , LK

PTS: 1 DIF: L3 REF: 5-6 Inequalities in One TriangleOBJ: 5-6.1 Use inequalities involving angles and sides of triangles STA: MA.912.G.4.7 TOP: 5-6 Problem 3 Using Theorem 5-11DOK: DOK 1

112. ANS: less than 29

PTS: 1 DIF: L3 REF: 5-6 Inequalities in One TriangleOBJ: 5-6.1 Use inequalities involving angles and sides of triangles STA: MA.912.G.4.7 TOP: 5-6 Problem 5 Finding Possible Side LengthsKEY: Triangle Inequality Theorem DOK: DOK 2

113. ANS: 0 x 21

PTS: 1 DIF: L2 REF: 5-7 Inequalities in Two TrianglesOBJ: 5-7.1 Apply inequalities in two triangles STA: MA.912.G.4.7TOP: 5-7 Problem 3 Using the Converse of the Hinge Theorem DOK: DOK 2

ID: A

20

114. ANS: 11 x 43

PTS: 1 DIF: L3 REF: 5-7 Inequalities in Two TrianglesOBJ: 5-7.1 Apply inequalities in two triangles STA: MA.912.G.4.7TOP: 5-7 Problem 3 Using the Converse of the Hinge Theorem DOK: DOK 2

115. ANS: 10 x 18

PTS: 1 DIF: L4 REF: 5-7 Inequalities in Two TrianglesOBJ: 5-7.1 Apply inequalities in two triangles STA: MA.912.G.4.7TOP: 5-7 Problem 3 Using the Converse of the Hinge Theorem DOK: DOK 2

116. ANS: 2. Reflexive Property4. Hinge Theorem

PTS: 1 DIF: L2 REF: 5-7 Inequalities in Two TrianglesOBJ: 5-7.1 Apply inequalities in two triangles STA: MA.912.G.4.7TOP: 5-7 Problem 4 Proving Relationships in Triangles DOK: DOK 2

117. ANS: x 32, y 31, z 117

PTS: 1 DIF: L4 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | opposite angles | consecutive angles | transversal DOK: DOK 2

118. ANS: 109

PTS: 1 DIF: L4 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | anglesDOK: DOK 2

119. ANS: 100

PTS: 1 DIF: L4 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | anglesDOK: DOK 2

ID: A

21

120. ANS: 97

PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | consecutive anglesDOK: DOK 1

121. ANS: 162

PTS: 1 DIF: L4 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 1 Using Consecutive Angles KEY: algebra | parallelogram | opposite angles | consecutive angles DOK: DOK 2

122. ANS: 53

PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | opposite anglesDOK: DOK 1

123. ANS: x = 39, y = 22

PTS: 1 DIF: L3 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.2 Use relationships among diagonals of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 3 Using Algebra to Find Lengths KEY: transversal | diagonal | parallelogram | algebra DOK: DOK 2

124. ANS: 4

PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.2 Use relationships among diagonals of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 3 Using Algebra to Find Lengths KEY: parallelogram | diagonalDOK: DOK 1

ID: A

22

125. ANS: x = 9, NM = 48, OL = 48

PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 3 Using Algebra to Find Lengths KEY: parallelogram | algebra DOK: DOK 2

126. ANS: 12

PTS: 1 DIF: L3 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 4 Using Parallel Lines and Transversals KEY: transversal | parallel linesDOK: DOK 2

127. ANS: KL = 8.7, FG = 7.8

PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Use relationships among sides and angles of parallelograms STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5 TOP: 6-2 Problem 4 Using Parallel Lines and Transversals KEY: parallel lines | transversalDOK: DOK 1