1. Guess based on an observation

3. 5. C

7. 4x the previous number, 768

9. Subtract one more each time, –8

11. Add 3 more each time, 25

13. even

2.1 HW pg. 75-78 #1-17 odd, 22

15. (1 + 2)2 = 12 + 22

32 = 1 + 4 9 5

17. Ex. 2 5 = 10

22. B

2.1 HW pg. 75-78 #1-17 odd, 22

1. Converse

3. If x = 6, then x2 = 36

5. If a person is registered, then they are allowed to vote

7. If two angles are complementary, then they add to 90°Con: If two angles add to 90°, then they are complementaryInv: If two angles aren’t complementary, then they don’t add to 90°Cont: It two angles don’t add to 90°, then they aren’t complementary

2.2 HW pg. 82-85 1-15 odd, 16-18, 19-27 odd

9. If 3x + 10 = 16, then x = 2Con: If x = 2, then 3x + 10 = 16Inv: If 3x + 10 16, then x 2Contr: If x 2, then 3x + 10 16

11. False,

13. False, they add to 180°, but aren’t adjacent

15. False, 2

16. True, measures 90°

2.2 HW pg. 82-85 1-15 odd, 16-18, 19-27 odd

17. m1 = 90°

18. 2 & 3 are a linear pair

19. An angle measures between 90° and 180° iff it is obtuse

21. Points are coplanar iff they lie on the same plane

23. Good

25. A

27. If –x > –6, then x < 6. True.

2.2 HW pg. 82-85 1-15 odd, 16-18, 19-27 odd

4. Then it is a right angle

5. –15 < –12

6. It is nonfiction

7. If a rectangle has 4 equal side lenghts, then it is a regular polygon.

8. If y > 0, then 2y – 5 –5

9. If you play the clarinet, then you are a musician

12. B

2.3 HW pg. 90-93 #4-9, 12, 13, 16-19, 25-28

13. Can’t assume because it doesn’t say hypothesis is true

16. You can’t buy a car

17. If they bakery makes a profit, you will get a raise

18. May have

19. is

25. True 26. True

27. False, she buys popcorn 28. False, doesn’t say

2.3 HW pg. 90-93 #4-9, 12, 13, 16-19, 25-28

3. If there are 2 points, then there is one line

4. If one plane, then 3 noncollinear points are on the plane

5. If 3 points are noncollinear, then there is a plane.Con: If there is a plane, then there are 3 noncollinear pointsInv: If there isn’t a plane, then there isn’t 3 noncollinear ptsCont: If there isn’t 3 noncollinear pts, then there isn’t a plane

9. No,

2.4 HW pg. 99-102 #3-5, 9-13, 14-24

10.B

11. False, plane

12. true

13. False, parallel

14. true 15. false 16. false17. false 18. false 19. false20. false 21. true 22. true23. false

24. C

2.4 HW pg. 99-102 #3-5, 9-13, 14-24

1. Reflexive

2. Subtraction, addition, division

4. Distributive, subtraction, addition

5. D

7. 4x + 9 = 16 – 3x Given 7x + 9 = 16 Addition 7x = 7 Subtraction

x = 1 Division

2.5 HW pg. 108-111 #1, 3-5, 7, 9, 17, 21-26, 41, 42

9. 3(2x + 11) = 9 Given 6x + 33 = 9 Distribution 6x = –24 Subtraction

x = –4 Division

17. 12 – 3y = 30x Given –3y = 30x – 12 Subtraction y = –10x + 4 Division

21. 20 + CD

22. m2 = m1

23. AB + EF = CD + EF

2.5 HW pg. 108-111 #1, 3-5, 7, 9, 17, 21-26, 41, 42

24. 5x + 40 = 2

25. m1 = m3

26. 7x = x + 24 Given 6x = 24 Subtraction x = 4 Division

41. Ex.

42. is

2.5 HW pg. 108-111 #1, 3-5, 7, 9, 17, 21-26, 41, 42

1. Statement that is proved

2. Definitions, postulates, properties

3. AB = 5, BC = 6 Given AC = AB + BC Segment Addition AC = 5 + 6 Substitution

AC = 11 Simplify

4. m1 = 59°, m2 = 59° Given 59° = m2 Symmetric Property

m1 = m2 Transitive Property

2.6 HW pg. 116-119 #1-12, 17, 18, 21, 22, 24

5.

6. JKL RST

7. J L

8. Symmetric 9. Reflexive 10. Transitive

11. Reflexive

12. C

2.6 HW pg. 116-119 #1-12, 17, 18, 21, 22, 24

SE

17. Given

Transitive Property

2x + 5 = 10 – 3x Substitution5x + 5 = 10 Addition 5x = 5 Subtraction x = 1 Division

18. mABC = 90° GivenmABD + mDBC = 90° Angle Addition Postulate6x + 3x – 9 = 90 Substitution 9x – 9 = 90 Simplify

9x = 99 Addition x = 11 Division

2.6 HW pg. 116-119 #1-12, 17, 18, 21, 22, 24

,QR PQ≅ RS PQ≅

QR RS≅

21. bisects UTW Given 1 2 Def. of angle bisector 2 3 Given 1 3 Transitive

22. bisects PQR Given (D)PQS SQR Def. of angle bisector (A)

mPQS = mSQR Def of congruent angles (F)

mPQS + mSQR = mPQR Angle addition (C)mPQS + mPQS = mPQR substitution (G)

2(mPQS) = mPQR Distributive (B)mPQS = ½(mPQR) Division (E)

2.6 HW pg. 116-119 #1-12, 17, 18, 21, 22, 24

TVuuur

QSuuur

24. m1 + m2 = 180° Given m1 = 62° Given

62 + m2 = 180° Substitution m2 = 118° Subtraction

2.6 HW pg. 116-119 #1-12, 17, 18, 21, 22, 24

1. vertical

8. m1 = 145°, m2 = 35°, m3 = 145°, m4 = 35°

10. m1 = 143°, m2 = 37°, m3 = 143°, m4 = 37°

12. x = 11, y = 17

14. x = 4, y = 9

17. 30° 18. 25° 19. 27°20. 133° 21. 58°

23. True 25. False

2.7 HW pg. 127-131 #1, 8-14 even, 17-21, 23, 25, 28, 31-33, 37

28. x = 18, y = 13 m1 = 130°, m2 = 50°, m3 = 130°, m4 = 50°

• EGH FGH by the definition of angle bisector

• 1 9 by the congruent complements theorem

• AEC CEB BED AED, def of perp. Lines

2.7 HW pg. 127-131 #1, 8-14 even, 17-21, 23, 25, 28, 31-33, 37

1. 1 & 2 are complementary 1. Given 1 & 3 are complementary 2. m1 + m2 = 90°, m1 + m3 = 90° 2. Def. of comp. angles • m1 + m2 = m1 + m3 3. Transitive Prop.4. m2 = m3 4. Subtraction5. 2 3 5. Def. of angles

37.

1. Theorem

2. ~p → ~q, q → p

3. mA = mC

4. Divide by 4, –80, –20, –5

5. –1/–1 = 1

6. If an angle measures 34°, then it is acute.Con: If an angle is acute, then it measures 34°Inv: If an angle doesn’t measure 34°, then it isn’t acuteCont: If an angle isn’t acute, then it doesn’t measure 34°

Ch 2 Review pg. 134-137 #1-10, 12-16, 18-20, 22, 23pg. 138 1-5 odd, 9, 10, 17-20

7. Yes, def. of complementary angles

8. A polygon is equiangluar iff all of its angles are congruent

9. It measures 90°

10. If 4x = 12, then 2x =6.

12. Ex.

13. B

Ch 2 Review pg. 134-137 #1-10, 12-16, 18-20, 22, 23pg. 138 1-5 odd, 9, 10, 17-20

14. –9x – 21 = –20x – 87 Given 11x – 21 = –87 Addition 11x = 66 Addition

x = 1 Division

15. 15x + 22 = 7x +62 Given 8x + 22 = 62 Subtraction 8x = 40 Subtraction

x = 5 Division

Ch 2 Review pg. 134-137 #1-10, 12-16, 18-20, 22, 23pg. 138 1-5 odd, 9, 10, 17-20

16. 3(2x + 9) = 30 Given 6x + 27 = 30 Distribution 6x = 3 Subtraction

x = 0.5 Division

18. Symmetric 19. Reflexive 20. Transitive

22. m1 = 114°, m2 = 66°, m3 = 114°, m4 = 66°

23. m1 = 123°, m2 = 57°, m3 = 123°, m4 = 57°

Ch 2 Review pg. 134-137 #1-10, 12-16, 18-20, 22, 23pg. 138 1-5 odd, 9, 10, 17-20

1.

3. Add 5, 14

5. If 2 angles are right angles, then they are congruentCon: If two angles are congruent, then they are right anglesInv: If 2 angles aren’t right angles, then they aren’t congruentCont: If 2 angles aren’t congruent, then they aren’t right angles

9. You will miss band practice

10. If Margot goes to college, then she will need to buy a lab manual.

Ch 2 Review pg. 134-137 #1-10, 12-16, 18-20, 22, 23pg. 138 1-5 odd, 9, 10, 17-20

17. B 18. A 19. C

20. x = 25, y = 18

Ch 2 Review pg. 134-137 #1-10, 12-16, 18-20, 22, 23pg. 138 1-5 odd, 9, 10, 17-20

126°

126°

54°54°