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Congruent Polygons. Lesson 4.1. Naming polygons. A. AB AE. ABCDE AEDCB. DEABC DCBAE. B. A. EABCD EDCBA. Keep going until you get back to the beginning. Pick a letter. Pick a direction. E. C. BCDEA BAEDC. CDEAB CBAED. D. Corresponding angles.
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Congruent Polygons Lesson 4.1
Naming polygons A AB AE ABCDE AEDCB DEABC DCBAE B A EABCD EDCBA Keep going until you get back to the beginning Pick a letter. Pick a direction. E C BCDEA BAEDC CDEAB CBAED D
Corresponding angles • The angles correspond to their position in the name: Pentagon ABCDE Pentagon ROUGH angle B matches up with angle O angle A matches up with angle R angle E matches up with angle H angle D matches up with angle G angle C matches up with angle U
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
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
E A F D ΔABC is congruent to ΔFED ΔCAB is congruent to ΔDFE B C
More examples Name the corresponding side and angles. ABCD is congruent to WXYZ W X Y Z A B C D