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?