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4.1: CONGRUENT FIGURES Objectives: To recognize congruent figures and their corresponding parts.

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Presentation on theme: "4.1: CONGRUENT FIGURES Objectives: To recognize congruent figures and their corresponding parts."— Presentation transcript:

1 4.1: CONGRUENT FIGURES Objectives: To recognize congruent figures and their corresponding parts

2 Congruent figures:  Same size, same shape Congruent Polygons: , corresponding parts  If polygons are slid, flipped or turned, corresponding parts are still  Matching sides and angles (sides and angles are in same position) IF POLYGONS ARE, CORRESPONDING PARTS ARE

3 Congruent Polygons ACBX PRQY C corresponds to B corresponds to corresponds to Congruency Statement: lists corresponding vertices in the same order

4 ABCDE FGHIJ A B C DE I J F G H Find the m

5 Two triangles are if : They have 3 pairs of, corresponding sides They have 3 pairs of, corresponding angles

6 Theorem: If 2 of one triangle are congruent to 2 of another triangle, then the third are congruent. 90 30

7 Can you prove these triangles are congruent?


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