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Objectives: - Define congruent polygons - Solve problems by using congruent polygons Warm-Up: Captain Frank and Professor Quantum played chess. They played.

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Presentation on theme: "Objectives: - Define congruent polygons - Solve problems by using congruent polygons Warm-Up: Captain Frank and Professor Quantum played chess. They played."— Presentation transcript:

1 Objectives: - Define congruent polygons - Solve problems by using congruent polygons Warm-Up: Captain Frank and Professor Quantum played chess. They played seven games, each won the same number of games, and there weren’t any stalemates. How could this have happened?

2 Two polygons are congruent if and only if there is a correspondence between their sides and angles such that: -each pair of corresponding angles is congruent -each pair of corresponding sides is congruent Polygon Congruence Postulate:

3 ABCDEFAFEDCB BCDEFABAFEDC CDEFABCBAFED DEFABCDCBAFE EFABCDEDCBAF FABCDEFEDCBA Example: What are all of the possible names for the hexagon below? A B C D E F

4 Example: The polygons at the right are congruent. Write a congruence statement about them. A B D C G H F E There is more than one way to write a congruence statement. Complete the congruence statements below.

5 Corresponding Sides & Angles If two polygons have the same number of sides, it is possible to set up a correspondence between them by pairing their parts. In quadrilaterals ABCD and EFGH, for example, you can pair angles A&E, B&F, C&G, and D&H. Notice you must go in the same order around each of the polygons. A B D C G H F E

6 R E X F Note: Six congruences are required for triangles to be congruent—three pairs of angles and three pairs of sides.

7 Homework: Pages 213–215; Numbers 7-28


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