Goal: The learner will us AA Similarity.

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Presentation transcript:

Goal: The learner will us AA Similarity. Lesson 6.4 Goal: The learner will us AA Similarity.

Equilateral Triangles Are all equilateral triangles similar? Explain.

Angle-Angle (AA) Similarity If 2 angles of one triangle are congruent ot 2 angles of another triangle, then they are similar. J X ΔJKL~ΔXYZ Y Z K L

Why don’t I need to know the measure of the third angle of the triangles?

Are They Similar? 64 64 26

Similar? T A S V 52 E B R U D C

How could this possibly be useful? Indirect measurement! Similar triangles can be created and proportions setup to solve for missing measurements.

A flagpole casts a shadow that is 50 feet long A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is 5’ 4” tall casts a shadow that is 40” long. How tall is the flagpole to the nearest foot? p. 384 #3-17, 26-29, 31