Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math …...Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math Game.notebook 10 August 29, 2017 11. Given triangle ABC if A(6, 4) B (10, 8) and

Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math Game.notebook

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August 29, 2017

Do Now!

• Please complete this as quickly as possible...we have a game to play. We will not start our game UNTIL EVERYONE HAS COMPLETED THE DO NOW! :)

• Take out a sheet of NB paper. Pre test and a pencil.

• Clear everything else off your desk!


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August 29, 2017


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August 29, 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.


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August 29, 2017

The Unfair Math Game

• Each student is responsible for completing each problem on his/her NB paper.

• A name will be drawn out randomly to answer the question.

• If answered correctly, they get to select a "prize" from the board or from another person.

• After selecting a "prize" place it on top of your desk where it can be seen...it cannot be opened until the end of class.

• If answered incorrectly, another name will be drawn.

• All sticks will be put back into the bag after the question has been answered.


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August 29, 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?


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August 29, 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'?


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August 29, 2017

5. What type of lines "never" intersect?

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

True or False.


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August 29, 2017

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

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


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August 29, 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?


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August 29, 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


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August 29, 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


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August 29, 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


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August 29, 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?


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August 29, 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?


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August 29, 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


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August 29, 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?


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August 29, 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

?


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August 29, 2017

27. Solve for x.

100

50 5x + 10

7x + 20

6x + 6 5x + 10

28. Solve for x.


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August 29, 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


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August 29, 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


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August 29, 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.


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August 29, 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

Unit 5 Study Guide.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

=

Ð

m

. Find the remaining angle measures.

y

50

°

45

°

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SMART Notebook

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Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math …...Week 4 08.28.17 Day 2 Unit 1 Review Unfair Math Game.notebook 10 August 29, 2017 11. Given triangle ABC if A(6, 4) B (10, 8) and