Chapter 6.4 Notes: Prove Triangles Similar by AA

Goal: You will use the AA Similarity Postulate.

AA Similarity (AA ~)

Two triangles are similar if two of their corresponding angles are congruent.

Ex.1: Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.

Ex.2: Show that the two triangles are similar.

a. ∆ABE and ∆ACD

b. ∆SVR and ∆UVT

Ex.3: Show that the triangles are similar. Write a similarity statement.

a. ∆FGH and ∆RQS

b. ∆CDF and ∆DEF

Ex.4:

Ex.5: A school building casts a shadow that is 26 feet long. At the same time a student standing nearby, who is 71 inches tall, casts a shadow that is 48 inches long. How tall is the building to the nearest foot?