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7.3 Proving Triangles Similar

Name the postulate or theorem you can use to prove the triangles congruent. 1. 2. 3. 7.3 Proving Triangles Similar. Objectives: To use the AA ∼ Postulate and the SAS ∼ and SSS ∼ Theorems To use similarity to find indirect measurements. Click for next slide. Essential Understanding.

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7.3 Proving Triangles Similar

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  1. Name the postulate or theorem you can use to prove the triangles congruent. 1.2. 3. 7.3 Proving Triangles Similar Objectives: To use the AA ∼ Postulate and the SAS ∼ and SSS ∼ Theorems To use similarity to find indirect measurements Click for next slide

  2. Essential Understanding You can show that two triangles are similar when you know the relationships between only two or three pairs of corresponding parts. Click for next slide

  3. Post 7-1 Angle-Angle Similarity (AA~) Postulate • If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the triangles are similar P T L M S R ΔTRS ~ ΔPLM Click for next slide

  4. Ex. 1 Explain why the triangles are similar W V 45 S 45 R B Is there enough info to write the similarity ratio? Click for next slide

  5. Thm 7-1 Side – Angle –Side Similarity (SAS~) • If an angle of 1 triangle is congruent to an angle of a 2nd triangle and the sides including the 2 angles are proportional, the triangles are similar Q A If ∠A ≅ ∠Q and C B S R Then ΔABC ~ ΔQRS Click for next slide

  6. Thm. 7-2 Side – Side – Side Similarity (SSS~) • If the corresponding sides of 2 triangles are proportional, then the triangles are similar. Click for next slide Q A C B S R If then ΔABC ~ ΔQRS

  7. Ex. 2 Explain why the following triangles are similar M b) a) Z P K 6 8 58 58 R A Q X B 3 4 Y X Given: MX ⊥ AB Click for next slide

  8. c) 9 G A B 6 6 8 8 C F E 12 Click for next slide

  9. The lengths of the sides of similar triangles can be found by using Similar Theorems. Click for next slide

  10. Ex. 3 Explain why the triangles are similar and find DE A D 12 10 24 B 16 C 18 E Click for next slide

  11. #3 Find x 12 6 x 8 Click for next slide

  12. Indirect measurements • Measurement that would be hard to actually measure. • Can use similar triangles to find these measurements. Click for next slide

  13. What is the Length of JS?(Round to the nearest tenth) J x FT H 6 FT S V T 7 FT 40.5 FT Click for last slide

  14. Classwork 7.3 Review Worksheet LESSON OVER

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