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Geometry Quiz: Similarity and Proofs Review

Test your knowledge on similarity, congruence, and proofs with this quiz covering various geometric concepts and calculations.

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Geometry Quiz: Similarity and Proofs Review

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  1. Unit 2 – Similarity, Congruence, and Proofs Review Quiz #7 Proving Similarity

  2. Question 1 The length of a building’s shadow is 107.2 feet. At the same time of day, a 1.8-foot-tall tree casts a shadow that is 2.4 feet long. What is the height of the building? 80.4 feet

  3. Question 2 . What is the length of ? 4 units

  4. Question 3 In , the bisector of ∠A divides into segments with lengths of 24 units and 30 units. If = 37.5 units, what could be the length of ? 30 units

  5. Question 4 is a right triangle. Find the length of x, which is the altitude of . 30 units

  6. Question 5 Which statement would justify that ? Sides are not proportional; triangles are not similar

  7. Question 6 Which statement would justify that ? Side-Side-Side (SSS) Similarity Statement

  8. Question 7 Which statement would justify that ? Side-Angle-Side (SAS) Similarity Statement

  9. Question 8 Which statement would justify that ? It is not possible to determine if .

  10. Question 9 . What is the length of ? 7.2 units

  11. Question 10 . What is the length of ? 22.5 units

  12. Question 11 What is the length of ? 30 units

  13. Question 12 What is the length of ? 20 units

  14. Question 13 is a right triangle. Find the length of x, the altitude of .

  15. Question 14 is a right triangle. Find the length of

  16. Question 15 Decide whether each statement is true or false about similar triangles. The angles of similar triangles are always congruent. TRUE The sides of similar triangles are proportional. TRUE One congruent angle measure indicates similarity. FALSE Similar triangles can have shared parts. TRUE

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