6.4 – Prove Triangles Similar by AA

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Presentation transcript:

6.4 – Prove Triangles Similar by AA Goal: You will use the AA Similarity Postulate.

Use the AA Similarity Postulate Example 1: Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.

Show that triangles are similar Example 2: a. b. ∆SVR and ∆UVT

Indirect Measurement: a way to measure something that is out of your reach by creating triangles for it and something you know the measurement of, thus creating ___________ triangles to make proportions. similar

Example 3: You stand in the shadow of a tree, so that you are 20 yards from the tree and your shadow is 16 feet long. If you stand 6 feet tall, how tall is the tree? (Draw a picture!)

Example 4: a) A lifeguard is standing beside the lifeguard chair on a beach. The lifeguard is 6 feet 4 inches tall and casts a shadow that is 48 inches long. The chair casts a shadow that is 6 feet long. How tall is the chair? b) In the above example, how long is the shadow of a person that is 4 feet 9 inches tall?