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Transcript

Name: Period: Date: Verifying Triangles are Congruent Definition of Congruent Triangles - Triangles are congruent if and only if their corresponding sides have equal lengths and their corresponding angles have equal measures. Directions: 1. Create a transformation using the triangle with vertices A(2, 1), B(7, 3), and C(1, 6) that creates a congruent triangle. 2. Verify that the transformation created is congruent figure by determining the corresponding angle measures and corresponding side lengths. Respond to the following: 1. List all of the corresponding sides and angles with their lengths and angle measures. 2. Which transformation did you use to verify the congruence of the triangles? Will every transformation create a congruent triangle to ABC ? 3. Using your prior knowledge of angles, side lengths, and triangles, is there an alternative approach to verifying the triangles are congruent besides showing that all of the corresponding side lengths are congruent and all of the corresponding angles are congruent. Name: Period: Date: