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Congruent polygo

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Brenda Obando
Brenda Obando

1) The document discusses naming and comparing polygons by listing vertices in order and identifying corresponding parts. 2) It states that if each pair of corresponding angles is congruent and each pair of corresponding sides is congruent, then the two polygons are congruent according to the Polygon Congruence Postulate. 3) Examples are given of naming a pentagon in different orders and proving that two triangles are congruent.

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4.1 Congruent Polygons
Naming & Comparing Polygons ,[object Object],[object Object],[object Object],DCBAE IJKPH  D corresponds to  I AE corresponds to PH A D C B E P I J K H
Name corresponding parts ,[object Object], D corresponds to  I  C corresponds to  J  B corresponds to  K  A corresponds to  P  E corresponds to  H DCBAE IJKPH ,[object Object],A D C B E P I J K H DC corresponds to IJ CB corresponds to JK BA corresponds to KP AE corresponds to PH ED corresponds to HI How many corresponding angles are there? How many corresponding sides are there? 5 5
[object Object],Do it. DCBAE CBAED BAEDC AEDCB EDCBA Pick a vertex and go clockwise Pick a vertex and go counterclockwise DEABC CDEAB BCDEA ABCDE EABCD A D C B E 10
Polygon Congruence Postulate ,[object Object]
Congruence Statements ,[object Object],[object Object],[object Object],[object Object],G H F E C D B A CONGRUENCE STATEMENT ABCD = EFGH ~
[object Object],~ X Y M L Statements Reasons XY = XL Given LM = YM Given XM = XM Reflexive Property  LXM =  YXM Given  L =  Y Given  XMY =  SML Right angles Δ LXM = Δ YXM Polygon Congruence Postulate ~ ~ ~ ~ ~ ~ ~

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Congruent polygo