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Understanding Triangle Congruence and Similarity: Guide to Proofs and Perimeters

This study guide covers essential principles of triangle congruence and similarity, crucial for the test tomorrow. Learn the five congruence proofs: SSS, ASA, AAS, HL, and SAS, and identify the necessary conditions for triangle similarity (all corresponding angles are congruent and corresponding side lengths are proportional). We also explore perimeter calculations for similar triangles, similarity postulates (AA, SSS, SAS), and how to find unknown side lengths using given data. Prepare effectively and ensure you grasp these fundamental concepts!

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Understanding Triangle Congruence and Similarity: Guide to Proofs and Perimeters

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  1. Tuesday, October 1st Warm Up B What are the five congruence proofs for triangles? Given ABC is similar to AKL, What is the perimeter of ABC? K 8 5 3 A 5 C L

  2. Important Test TOMORROW

  3. CW Answers Study Guide Answers

  4. Whiteboard Review

  5. Name the 5 congruent Postulates SSS ASA HL AAS SAS

  6. What 2 things must be true about similar Triangles? • All corresponding angles are congruent • Corresponding side lengths are proportional

  7. Are these Triangles similar? If so, name the postulate. Yes, AA

  8. Name the 3 Similarity Postulates SSS AA SAS

  9. Fill out the five reasons! Given: B is the midpoint of .

  10. What is the final Reason (Hint: postulate) Given: and bisects

  11. What angles should be congruent if the ACE is similar to BCD? A B e C D

  12. 8 in 12 in 10 in 15 in Find the Scale Factor (Similarity Ratio)

  13. Z W 8.4 7.5 U 5 V X Y 6 FIND ZY

  14. What is this postulate for similarity? D A E F B C

  15. S 5 4 Q P 12 15 R T Prove that RST~ PSQ SAS~ 1. Two sides are proportional 2. Included angle is congruent

  16. Find x

  17. Complete the congruence statement. _____   CBD

  18. MHQ is congruent to KHDFIND DK 6 3 7

  19. Share a side Reason: ____________property Vertical Angles Reason: __________________are congruent

  20. What is the length of XZ if AB is (2x + 4) C z x B A

  21. A 5 ft lady casts a shadow that is 22 ft long. Her son is standing next to her and casts a shadow that is 10 ft long. How tall is her son?

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