Proving Triangles Similar: AA, SAS, SSS
Explore the concepts of Angle-Angle, Side-Angle-Side, and Side-Side-Side similarity postulates to prove triangles are similar. Understand how to apply these statements with examples and find lengths in similar triangles.
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Presentation 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.
