Geometry 7-2 Complete Lesson: Similar Polygons

By Matt Richardson

Last updated about 3 years ago

30 Questions

Note 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.

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?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

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?

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.

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

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

Error Analysis: Explain your response to the previous item.

Reasoning: Classify each statement as true or false.

true
false

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

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

Review Lesson 7-1: Assume the following proportion is true.
Use the proportion to complete the statements below.

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

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

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

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

Triangle Pair A
Triangle Pair B
Triangle Pair C

Geometry 7-2 Complete Lesson: Similar Polygons

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?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

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?

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.

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

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

Error Analysis: Explain your response to the previous item.

Reasoning: Classify each statement as true or false.

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

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

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

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

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

Use Your Vocabulary: How are the two squares similar?

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

Reflection: Math Success