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**Concept: Use Similar Polygons**

Sec 6-3 to 6-5 Concept: Use Similar Polygons Objective: given 2 polygons, determine if they are similar and solve problems as measured by a s.g.

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**Look around the room, identify objects that are similar**

What does similar mean???

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**Example 1: Are the figures Similar?**

If RSTUWXYZ List all pairs of corresponding congruent angles and write the ratios of the corresponding side.

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Example 2 So, What is a scale Factor?_______________

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3 Short Cuts 1. AATwo triangles are similar if two angles of one triangles are congruent to two angles of another triangle, 2. SSS Two triangles are similar if the corresponding side lengths of two triangles are proportional 3. SAS Two triangles are similar of an angles of one triangle is congruent to an angle of another triangle and the lengths of the sides including these angles are proportional.

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**Example 3 are the triangle similar?**

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Example 4

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Example 5

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Example 6

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There are 3 ways to show two triangles are similar to each other. Those 3 ways are: 1. Angle-Angle Similarity Postulate. (AA~) 2. Side-Angle-Side Similarity.

There are 3 ways to show two triangles are similar to each other. Those 3 ways are: 1. Angle-Angle Similarity Postulate. (AA~) 2. Side-Angle-Side Similarity.

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