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Chapter 8 Similarity

8.1 Similar Polygons 8.2 Proving Triangle Similarity by AA 8.3 Proving Triangle Similarity by SSS and SAS 8.4 Proportionality Theorems

8.2 Proving Triangle Similarity by AATheorem

Angle-Angle Similarity (AA~) Theorem

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

triangles are similar.

If ∠A ≌∠D and ∠B ≌∠E, then ∆ABC ~ ∆DEF.

Using AA~A) Are these triangles similar?

8.2 Proving Triangle Similarity by AA

38˚38˚ 70˚

70˚

A

BC

D E

B) Are ∆ABC and ∆AED similar? Why or why not?

Using AA~A) Calculate x and y.

8.2 Proving Triangle Similarity by AA

B) Calculate the distance AB.

Using AA~How are these triangles similar?

8.2 Proving Triangle Similarity by AA

10 ft 3 in 3 ft 6 in

5 ft 9 in

Height?

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