Geometry 9-7 Similarity Transformations

by Matthew Richardson

| 17 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

1

10 pts

Solve It! Your friend says that she performed a composition of transformations to map △ABC to △A'B'C'. Describe the composition of transformations.

2

10 pts

Problem 1 Got It? Reasoning: △LMN has vertices L(-4, 2), M(-3, -3), and N(-1, 1). Suppose the triangle is translated 4 units right and 2 unit up and then dilated by a scale factor of 0.5 with center of dilation at the origin. Sketch the △LMN in black and the resulting image of the composition of transformations in blue. Include all relevant graph detail.

3

3

10 pts

Problem 2 Got It?

A

B

C

D

4

4

10 pts

Problem 3 Got It?

A

B

C

D

5

5

10 pts

Problem 4 Got It?

A

B

C

D

6

6

10 pts

A

B

C

D

7

7

10 pts

A

B

C

D

9

9

10 pts

Open-Ended: For △TUV, give the vertices of a similar triangle after a similarity transformation that uses at least 1 rigid motion.

10

10 pts

Review Lesson 9-3: Which capital letters of the alphabet are rotation images of themselves? Draw each letter and give an angle of rotation (<360°).

11

10 pts

Review Lesson 6-7: Three vertices of an isosceles trapezoid are (-2, 1), (1, 4), and (4, 4). Graph the given vertices in black and all possible fourth vertices in blue. Label the vertices with coordinates. Include all relevant graph detail.

12

10 pts

Review Lesson 1-8: Find the area of each figure. Not all areas will be used.

- A square with 5-cm sides
- A rectangle with base 4.1 cm and height 7 cm
- A 4.7 cm-by-2.5 cm rectangle

13

10 pts

Vocabulary Review: Complete each sentence with the most appropraite word(s) from the list.

- angle measure
- dilations
- distance
- rigid motion

- Rigid motions and dilations both preserve __?__.
- __?__ preserve distance.
- __?__ do not preserve distance.

15

10 pts

Use Your Vocabulary: The image of a dilation is 5 in. and the corresponding preimage length is 2 in. What is the scale factor of the dilation?

16

10 pts

Use Your Vocabulary: The scale factor of a dilation is 2/3. An image length is 4 m. What is the corresponding preimage length?

2 m

3 m

4 m

5 m

6 m

17

10 pts

Reflection: Math Success

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