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2.4: Congruency of Polygons

2.4: Congruency of Polygons. GSE’s. M(G&M)–10–4 Applies the concepts of congruency by solving problems on or off a coordinate plane using congruency involving problems within mathematics or across disciplines or contexts. D. I. H. E. J. P. C. A. K. B. Naming Congruent Polygons.

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2.4: Congruency of Polygons

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  1. 2.4: Congruency of Polygons GSE’s M(G&M)–10–4 Applies the concepts of congruencyby solving problems on or off a coordinate plane using congruency involving problems within mathematics or across disciplines or contexts.

  2. D I H E J P C A K B Naming Congruent Polygons - List vertices in order, either clockwise or counterclockwise. -When comparing 2 polygons, begin at corresponding vertices; name the vertices in order and; go in the same direction. -By doing this you can identify corresponding parts. DCBAE IJKPH http://www.mathplease.com/Geometry/Geometry%20Chapter%204/Geometry%20Chapter%204%20Powerpoints/4.1%20Congruent%20Polygons.ppt

  3. D I H E 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? J P C A K B Name corresponding parts • Name all the angles that correspond:  D corresponds to  I C corresponds to  J  B corresponds to  K  A corresponds to  P  E corresponds to  H DCBAE IJKPH • Name all the segments that correspond: 5 5 http://www.mathplease.com/Geometry/Geometry%20Chapter%204/Geometry%20Chapter%204%20Powerpoints/4.1%20Congruent%20Polygons.ppt

  4. D E C A B • How many ways can you name pentagon DCBAE? 10 Do it. Pick a vertex and go clockwise Pick a vertex and go counterclockwise DEABC CDEAB BCDEA ABCDE EABCD DCBAE CBAED BAEDC AEDCB EDCBA http://www.mathplease.com/Geometry/Geometry%20Chapter%204/Geometry%20Chapter%204%20Powerpoints/4.1%20Congruent%20Polygons.ppt

  5. Polygon Congruence Postulate • If each pair of corresponding angles is congruent, and each pair of corresponding sides is congruent, then the two polygons are congruent. http://www.mathplease.com/Geometry/Geometry%20Chapter%204/Geometry%20Chapter%204%20Powerpoints/4.1%20Congruent%20Polygons.ppt

  6. ~ ABCD = JKLM Congruence Statements • Given: These polygons are congruent. Write a congruency statement • Remember, if they are congruent, • they are EXACTLY the same size • AND shape. • That means that all of the • corresponding angles are congruent and all of the corresponding sides • are congruent. http://www.mathplease.com/Geometry/Geometry%20Chapter%204/Geometry%20Chapter%204%20Powerpoints/4.1%20Congruent%20Polygons.ppt

  7. Homework

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