Download presentation

Published byLogan Ferguson Modified over 3 years ago

1
Objectives Prove that two triangles are similar using AA, SAS, and SSS

2
**Proving Two Triangles Similar with Shortcuts**

Instead of using the definition of similarity to prove that two triangles are congruent (all corresponding angles are congruent and all corresponding sides are proportional), you can use three shortcuts: Angle-Angle (AA) Side-Angle-Side (SAS) Side-Side-Side (SSS)

3
**Angle-Angle (AA) Similarity Postulate**

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

4
AA Example Explain why the triangles are similar and write a similarity statement. ∠R ≅ ∠V (Given) ∠RSW ≅ ∠VSB (vertical angles are congruent) ΔRSW ≅ ΔVSB (AA)

5
**Side-Angle-Side (SAS) 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. G A 2 4 B C 3 J 6 H ΔABC ~ ΔGJH

6
SAS Example Explain why the two triangles are similar and write a similarity statement. ∠Q ≅ ∠X since they are right angles The two sides that include the right angles are proportional By SAS, ΔPRQ ~ΔZYX

7
**Side-Side-Side (SSS) Similarity Theorem**

If the corresponding sides of two triangles are proportional, then the triangles are similar. G A 4 5 8 10 B C 6 J 12 H ΔABC ~ ΔGJH

8
SSS Example Explain why the two triangles are similar and write the similarity statement. Since all sides of the two triangles are proportional, by SSS, ΔABC ~ ΔEFG

Similar presentations

OK

Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed.

Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on project spark Ppt on inventory turnover ratio Ppt on ufo and aliens Ppt on asia continent map Ppt on materials metals and nonmetals Ppt on crash fire tender for sale Ppt on robert frost Download ppt on human eye class 10 Ppt on colors tv channel Ppt on live line maintenance usa