Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math Game.notebook · · 2017-08-31Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math Game.notebook 3 August 29, 2017 Learning Target: I

Week408.28.17Day2Unit1ReviewUnfairMathGame.notebook

1

August29,2017

DoNow!

Pleasecompletethisasquicklyaspossible...wehaveagametoplay.WewillnotstartourgameUNTILEVERYONEHASCOMPLETEDTHEDONOW!:)

TakeoutasheetofNBpaper.Pretestandapencil.

Cleareverythingelseoffyourdesk!


2

August29,2017


3

August29,2017

Learning Target:

I can demonstrate my understanding of transformations and special angle relationships.

Standards:

MGSE8G1. Verify experimentally the properties of rotations,

reflections, and translations: a. Lines are taken to lines, and line

segments to line segments of the same length.

MGSE8G2. Understand that a two-dimensional figure is congruent

to another if the second can be obtained from the first by a

sequence of rotations, reflections, and translations given two

congruent figures, describe a sequence that exhibits the

congruence between them.

MGSE8G3. Describe the effect of dilations, translations, rotations,

and reflections on two-dimensional figures using coordinates.

MGSE8G4. Understand that a two-dimensional figure is similar to

another if the second can be obtained from the first by a sequence

of rotations, reflections, translations, and dilations given two

similar two-dimensional figures, describe a sequence that exhibits

the similarity between them.

MGSE8G5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.


4

August29,2017

TheUnfairMathGame

Eachstudentisresponsibleforcompletingeachproblemonhis/herNBpaper.

Anamewillbedrawnoutrandomlytoanswerthequestion.

Ifansweredcorrectly,theygettoselecta"prize"fromtheboardorfromanotherperson.

Afterselectinga"prize"placeitontopofyourdeskwhereitcanbeseen...itcannotbeopeneduntiltheendofclass.

Ifansweredincorrectly,anothernamewillbedrawn.

Allstickswillbeputbackintothebagafterthequestionhasbeenanswered.


5

August29,2017

1. Solve for side RS and RT if triangle ABC is similar to RST.

A

B

C5

4

3

S

TR

9

2. The point (3, 4) is reflected across the x axis, then translated 3 units left. What is the new coordinate?


6

August29,2017

3. The point (4, -5) is rotated 90o counterclockwise. What is the new coordinate?

4. Quadrilateral A(-6, 1) B(-4, 3) C(-6, 5) D(-8, 3) is reflected across the x-axis then translated to the right 6 units. What is C'?


7

August29,2017

5. What type of lines "never" intersect?

6. Corresponding sides in similar triangles are proportional in length.

True or False.


8

August29,2017

7. Identify which transformation is considered a "flip"?

8. Identify which transformation is considered a "turn"?


9

August29,2017

9. What angle relationship is shown?

1

2

10. If Triangle OPQ is similar to CDE and angle P is 40 degrees, what other angle is also 40 degrees?


10

August29,2017

11. Given triangle ABC if A(6, 4) B(10, 8) and C(6, 12) is dilated with a scale factor of 1/2, then what would be the ordered pair for C'?

12. These two ratios are proportional, True or False?

7 5632 140

and


11

August29,2017

13. Given triangle ABC if A(3, 4) B(5, 7) and C(3, 9) if it was dilated with a scale factor of 3, then what would be the coordinate pair for A'?

14. Find the scale factor for these two triangles.

615


12

August29,2017

15. Find the value of z given the triangle.

66o

zo

16. Find the value of x given the other two angles.

x

80o 45o


13

August29,2017

17. Triangle ABC is similar to XYZ, find side YZ if AB = 12, XY = 3, and BC = 20.

18. Given triangle ABC if angle A is 33 degrees, angle B is 49 degrees, then what is the measure of angle C?


14

August29,2017

19. If m 1 = 4x + 9 and its supplement measures 11o, what is the value of x?

20. If m 1 = 2x + 8 and its supplement measures 110o, what is the value of x?


15

August29,2017

21. Point H(-1, 4) is rotated 90o counterclockwise. What is the new coordinate of Point H'?

22. What is the relationship between angle 1 and angle 5?

1 23 4

5 67 8

A B

C D

E

F


16

August29,2017

23. Which angle is alternate interior to angle 3?

1 23 4

5 67 8

A B

C D

E

F

1 23 4

5 67 8

A B

C D

E

F

24. If angle 1 = 125o, then what is the measure of angle 2?


17

August29,2017

1 23 4

5 67 8

A B

C D

E

F

25. What is the relationship of angle 1 and 7?

26. If triangle ABC is similar to MNO, then solve for side MN.

A

B

C

12 4

M

NO 6

?


18

August29,2017

27. Solve for x.

100

50 5x + 10

7x + 20

6x + 6 5x + 10

28. Solve for x.


19

August29,2017

29. Triangle JKL is similar to triangle RST. Find KL if JK = 26, RS = 2 and ST = 4.

Hint: Draw the two triangles and label what you know!

30. Solve for the missing angles, x and y.

80

60 YX


20

August29,2017

31. If triangle RST is similar to FGH, what side corresponds with FG?

32. Solve for the missing angles, x and y.

X

56 Y23


21

August29,2017

33. If the center of a dilation is at (0, 0) and the scale factor is 1/4, what would be the coordinates of the image for a triangle with vertices at A(-1, 4), B(-8, 4), and C(-4, 8).

How long is AD?

34. Given CBA EDA, find the missing length.


22

August29,2017

Check Unit 1 Pre-test/Study Guide

1. LU MT UV TH LV MH 12. NP = 6 cm

L M U T V H 13. C

2. X'(-2, -5) Y'(-4, -1) Z'(-6, -8) 14. D

3. X'(-5, 7) Y'(-1, 9) Z'(-8, 11) 15. B

4. A'(-2, -7) B'(-2, -1) C'(-6, -1) 16. E

5. A'(-4, 7) B'(-6, 1) C'(-1, 2) 17. A

6. D'(-7, 2) E'(-6, 5) F'(-1, 5) G'(-2, 2)

7. A'(1, -3) B'(4, -8) C'(5, -2) 18. x = 85 y = 95

8. G'(3, 5) H'(6, -2) J'(2, 6) 19.

9. A'(4, 4) B'(6, 10) C'(10, 4)

10. A'(2, 2) B'(4, 6) C'(6, 2)

11. K R L S M T

KL LM KM

RS ST RT

100

8080

80

100

100100

80

==

Attachments

Unit5StudyGuide.rtf

Unit 5 Study Guide

Sketch the transformation of each given figure in the coordinate plane. List the coordinates for the new image.

1.Translate the given figure -10 units horizontally.

2.Rotate 180 degrees clockwise.

3.Reflect the triangle over the y-axis.

4.Dilate triangle ABC on the coordinate plane using the origin (0, 0) as the center of dilation and a scale factor of 2.

5.Dilate triangle ABC on the coordinate plane using the origin (0, 0) as the center of dilation and a scale factor of .

6.List the corresponding sides and angles.

7.Identify the congruent corresponding angles and write ratios to identify the proportional sides.

8. Determine each missing measure. Given:

Use the map to give an example of each type of relationship.

9. alternate interior angles10.alternate exterior angles11.same-side interior angles

12. same-side exterior angles13.corresponding angles

14. Find the missing measure. 15. Given

o

100

1

=

m

. Find the remaining angle measures.

y

50

45

gpOJ_4vK_46OeEffKU-6Eyw" \* MERGEFORMATINET

SMART Notebook

Page 1Page 2Page 3Page 4Page 5Page 6Page 7Page 8Page 9Page 10Page 11Page 12Page 13Page 14Page 15Page 16Page 17Page 18Page 19Page 20Page 21Page 22Attachments Page 1

Documents

Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math Game.notebook · · 2017-08-31Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math Game.notebook 3 August 29, 2017 Learning Target: I