6.3 AA Similarity Geometry.

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Presentation transcript:

6.3 AA Similarity Geometry

AA Similarity Postulate If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.

Determine if the following triangles are similar.

Determine if the following triangles are similar.

Determine if the following triangles are similar.

When two triangles are similar, the corresponding sides are proportional. But, what are the corresponding sides? Using the triangles from Example 4, we see how the sides line up in the diagram to the right.

A tree outside Ellie’s building casts a 125 foot shadow A tree outside Ellie’s building casts a 125 foot shadow. At the same time of day, Ellie casts a 5.5 foot shadow. If Ellie is 4 feet 10 inches tall, how tall is the tree?