1. 4.1 Congruent Polygons Date: ____________

2. Congruence Congruent (  ) – have the same size and shape. Congruent Polygon – corresponding sides and angles are all congruent

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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