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Download 8-3 Proving Triangles Similar M11.C.1 2.9.11.B
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Transcript
8-3 Proving Triangles Similar M11.C.1 2.9.11.B Objectives: 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 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. Example: SSS~ Are the triangles similar using the SSS Similarity Theorem? Finding Lengths in Similar Triangles Find DE and show triangles are similar.
