8-3 Proving Triangles SimilarM11.C.1 2.9.11.BObjectives:1) 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 TheoremIf 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.

Example: SSS~Are the triangles similar using

the SSS Similarity Theorem?

Finding Lengths in Similar Triangles

Find DE and show triangles are similar.