7.4 Showing Triangles are Similar: SSS and SAS

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Presentation transcript:

7.4 Showing Triangles are Similar: SSS and SAS Goal: Show that two triangles are similar using the SSS and SAS Similarity Postulates.

Theorem 7.2 Side-Side-Side Similarity Theorem (SSS) If the corresponding sides of two triangles are proportional, then the triangles are similar. A C F H G B

1. Use the SSS Similarity Theorem

2. Use the SSS Similarity Theorem

Use the SSS Similarity Theorem

Theorem 7.3 Side-Angle-Side Similarity Theorem (SAS) If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides that include these angles are proportional, then the triangles are similar. X Y M N P Z

3. Use the SAS Similarity Theorem

4. Similarity in Overlapping Triangles

Use the SAS Similarity Theorem NO Yes

Homework 7.4 pg. 382 5-25 Odd