8-3 Proving Triangles Similar M11.C B

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8-3 Proving Triangles Similar M11.C.1 2.9.11.B Objectives: To use and apply AA, SAS and SSS similarity statements.

Angle-Angle Similarity Postulate (AA~) If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. △TRS ~△PLM

Example (AA~) Explain why the triangles are similar What is the similarity statement?

Side-Angle-Side Similarity Theorem If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar.

Example Are the triangles similar by (SAS~)? Explain.

Side-Side-Side Similarity Theorem (SSS~) If the corresponding sides of two triangles are proportional, then the triangles are similar. Side-Side-Side Similarity Theorem (SSS~)

Example: SSS~ Are the triangles similar using the SSS Similarity Theorem?

Finding Lengths in Similar Triangles Find DE and show triangles are similar.