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BASIC GEOMETRY Section 7.3: Triangle Similarity: AA, SSS, & SAS

BASIC GEOMETRY Section 7.3: Triangle Similarity: AA, SSS, & SAS. Proving Triangles are Similar. AA ~ Thm: If two angles of one triangle are congruent to two angles in another triangle, then the triangles are similar.

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BASIC GEOMETRY Section 7.3: Triangle Similarity: AA, SSS, & SAS

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  1. BASIC GEOMETRYSection 7.3: Triangle Similarity: AA, SSS, & SAS

  2. Proving Triangles are Similar • AA ~ Thm: If two angles of one triangle are congruent to two angles in another triangle, then the triangles are similar.

  3. SSS ~ Thm: If the 3 sides of one triangle are proportional to 3 sides of another triangle, then the triangles are ~.

  4. SAS ~ Thm: If two sides of one triangle are proportional to two sides of another and the included angles are congruent, then the triangles are ~.

  5. Proofs • These 3 Thms are used the same as the congruent triangles ones in proofs. • Properties of Similarity

  6. Example 1: Explain why the triangles are similar and write a similarity statement.

  7. Example 2: Verify that the triangles are similar. A) ∆PQR & ∆STU B) ∆DEF & ∆HJK

  8. Example 3: Explain why ∆ABE ∼ ∆ACD, and then find CD.

  9. Example 4: The photo shows a gable roof. AC // FG. Find BA to the nearest tenth.

  10. Assignment #3 • Page 474 #’s 1-6,9,10,34-36,(44)

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