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Geometry 7-2 Complete Lesson: Similar Polygons

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Last updated over 4 years ago
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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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Review Lesson 7-1: Assume the following proportion is true.

Use the proportion to complete the statements below.

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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?

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 4 Got It?

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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?

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

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

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Error Analysis: Explain your response to the previous item.

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Reasoning: Classify each statement as true or false.

  • true

  • false

  • Similarity is reflexive.

  • Similarity is transitive.

  • Similarity is symmetric.

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

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

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

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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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Use Your Vocabulary: How are the two squares similar?

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

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Reflection: Math Success

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