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Congruent Polygons Lesson 4.1. ABCDE AEDCB Naming polygons A B C D E Pick a letter. A Pick a direction. AB AE Keep going until you get back to the beginning.

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Presentation on theme: "Congruent Polygons Lesson 4.1. ABCDE AEDCB Naming polygons A B C D E Pick a letter. A Pick a direction. AB AE Keep going until you get back to the beginning."— Presentation transcript:

1 Congruent Polygons Lesson 4.1

2 ABCDE AEDCB Naming polygons A B C D E Pick a letter. A Pick a direction. AB AE Keep going until you get back to the beginning BCDEA BAEDC CDEAB CBAED DEABC DCBAE EABCD EDCBA

3  The angles correspond to their position in the name: Pentagon ABCDE Pentagon ROUGH Corresponding angles angle A matches up with angle R angle E matches up with angle H angle B matches up with angle O angle D matches up with angle G angle C matches up with angle U

4 Corresponding sides  The sides correspond to their position in the name: Hexagon ASDFGH Hexagon ZXCVBN side AS and side ZX side CV and side DF side HA and side NZ

5 Polygon congruence postulate Two polygons are congruent iff there is a correspondence between their angles and sides such that: Each pair of corresponding angles are congruent Each pair of corresponding sides are congruent

6 A B C D E F ΔABC is congruent to ΔFED ΔCAB is congruent to ΔDFE

7 More examples Name the corresponding side and angles. ABCD is congruent to WXYZ ABCD is congruent to WXYZ W X W X Y Z Y Z A B A B C D C D


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