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5.2 Congruent Polygons

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**Classifying Triangles in the Coordinate Plane**

Classify the triangle based on its coordinates. A(-1,2) B(0, 0)C(6, 3) D(-2, 2) E(1,6) F(5, 3)

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**Interior vs. Exterior Angles**

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Proof Prove that the acute angles of a right triangle are always supplementary.

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**Find the measure of each acute angle in the right triangle.**

Four times the measure of one acute angle is two times the measure of the other acute angle. The measure of one acute angle is eight times the measure of the other acute angle. Four times the measure of one acute angle is equal to five times the measure of the other acute angle.

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Corresponding Parts A rigid motion maps each part of a figure to a corresponding part of its image.

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Congruent Polygons If two polygons are congruent, then all their corresponding parts (like sides and angles) are congruent. If two polygons have corresponding parts that are congruent, then the polygons are congruent. Identify all congruent parts and write a congruence statement for the previous slide.

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**BCDE≅FGHI, find ED (also list all corresponding congruent pairs)**

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ABC≅XYZ, Find CB

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