Geometry 7-2 Similar Polygons

by Matthew Richardson

| 30 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.

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1

10 pts

Solve It! A movie theater screen is in the shape of a rectangle 45 ft wide by 25 ft high. Which of the TV screen formats would show the most complete scene from a movie shown on the theater screen?

Standard

Letterbox

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2

10 pts

Problem 1 Got It?

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C

D

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3

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Problem 1 Got It?

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4

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Problem 2 Got It?

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5

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Problem 2 Got It?

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10 pts

Problem 3 Got It?

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7

10 pts

Problem 4 Got It?

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8

10 pts

Problem 5 Got It? Use the scale drawing above. What is the actual height of the towers above the roadway if the height of the towers in the drawing is 0.8 cm?

160 cm

80 m

80 cm

160 m

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10 pts

Problem 5 Got It? Reasoning: The Space Needle in Seattle is 605 ft tall. A classmate wants to make a scale drawing of the Space Needle on an 8.5 in. by 11 in. sheet of paper. He decides to use the scale 1 in. = 50 ft. Is this a reasonable scale? Explain.

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10 pts

A

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11

11

10 pts

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10 pts

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10 pts

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14

10 pts

Vocabulary: What does the scale on a scale drawing indicate?

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10 pts

Error Analysis: The polygons in the diagram are similar. Which similarity statement is NOT correct.

A

B

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10 pts

Error Analysis: Explain your response to the previous item.

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10 pts

Reasoning: Classify each statement as true or false.

- true
- false

- Similarity is reflexive.
- Similarity is transitive.
- Similarity is symmetric.

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18

10 pts

Vocabulary: The triangles in the digram are similar. Which of the following are similarity statements for the triangles? Select all that apply.

△ABS ~ △PRS

△SAB ~ △SRP

△BSA ~ △RSP

△SAB ~ △SPR

Review Lesson 7-1: Assume the following proportion is true.

Use the proportion to complete the statements below.

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19

10 pts

xy

63

16

7y

20

1 pt

x

y

7

9

21

1 pt

x

y

7

9

22

1 pt

y + 7

y + 9

y

9

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1 pt

y + 7

y + 9

7

9

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10 pts

Review Lesson 4-5: Name the isosceles triangles in the figure. Select all that apply.

△CBD

△DFE

△CAE

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10 pts

Review Lesson 4-5: Select the lengths equal to CD.

DE

CB

AF

BA

BD

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10 pts

Review Lesson 4-5: Find m∠A. Enter only a number.

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27

10 pts

Review Lessons 4-2 & 4-3: Which theorem or postulate can you use to prove each pair of triangles congruent?

- SSS
- SAS
- AAS
- ASA

- Triangle Pair A
- Triangle Pair B
- Triangle Pair C

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10 pts

Use Your Vocabulary: How are the two squares similar?

29

10 pts

Use Your Vocabulary: How are the two squares NOT similar?

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10 pts

Reflection: Math Success

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