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Congruent Polygons

Congruent Polygons. October 20, 2017. Congruence. Congruent ( ) – have the same size and shape. Congruent Polygon – corresponding sides and angles are all congruent Corresponding – sides and angles that have the same position in different figures. Y. A. Z.

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Congruent Polygons

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  1. Congruent Polygons October 20, 2017

  2. Congruence Congruent () – have the same size and shape. Congruent Polygon – corresponding sides and angles are all congruent Corresponding – sides and angles that have the same position in different figures

  3. Y A Z C X B Ex 1 ∆ABC  ∆YXZ ∆BAC  ∆XYZ Corresponding Angles Corresponding Sides  A  Y B  X   C  Z

  4. Ex 2 Identify corresponding sides and corresponding angles of the congruent polygons. Corresponding Angles Corresponding Sides  A  M B  N   C  O  D  P

  5. Ex 3 B N A C M O D P Identify corresponding sides and corresponding angles of the congruent polygons. Corresponding Angles Corresponding Sides  A  O B  N  C  M  D  P 

  6. Ex 4 Identify corresponding sides and corresponding angles of the congruent polygons. MIHKL  UZESF Corresponding Angles Corresponding Sides  M  U I  Z   H  E  K  S F  L 

  7. A B C D Identify corresponding sides and corresponding angles of the congruent polygons. ∆ABD  ∆CDB Corresponding Angles Corresponding Sides  A  C  BDA  DBC  ABD  CDB

  8. Are the triangles congruent?If so, write a congruence statement. 1. Are corresponding angles congruent? Yes 2. Are corresponding sides congruent? Yes Yes, they are congruent. ∆PMN  ∆SRT

  9. Are the quadrilaterals congruent?If so, write a congruence statement. 1. Are corresponding angles congruent? Yes 2. Are corresponding sides congruent? Yes Yes, they are congruent. CFED  LMJK

  10. Are the triangles congruent?If so, write a congruence statement. 1. Are corresponding angles congruent? Yes 2. Are corresponding sides congruent? No No, they are not congruent.

  11. Length of a Line Segment “Segment AB” “Length of Segment AB”

  12. Segments are congruent when they have the same length. D C 3 in G H 3 in Segment Lengths are equal (same size) CD = GH Segments are congruent (same size and shape) When writing out lengths, use the = sign. CD = 3 in

  13. 10 in 15 in Are the following figures congruent? 1. Are they the same shape? Yes (segments) 2. Are they the same size? No (10 in  15 in) Not Congruent

  14. 3 m 3 m Are the following figures congruent? 1. Are they the same shape? Yes (segments) 2. Are they the same size? Yes (both 3m) Congruent

  15. the angle’s name the angle’s measure A B C

  16. Angles are congruent when they have equal measures (same # of degrees). X A 50° 50° Z C Y B Angle Measures equal (same size/degrees) Angles are Congruent (size and shape same) When writing angle measures, use the = sign.

  17. Ex 1 Are the following figures congruent? 130 130 1. Are they the same shape? Yes (angles) 2. Are they the same size? Yes (both 130) Congruent

  18. Ex. 2 Are the following figures congruent? 45 50 1. Are they the same shape? Yes (angles) 2. Are they the same size? No (both 50  45) Not Congruent

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