1. Congruent Triangles An Introduction to Corresponding Parts

2. Two figures are congruent if they are the same size and same shape.

3. ∆ABC is congruent to ∆XYZ AB C XY Z

4. AB C XY Z Corresponding parts of these triangles are congruent.

5. ∆ABC is congruent to ∆XYZ AB C XY Z Corresponding parts of these triangles are congruent. Corresponding parts are angles and sides that “match.”

6. ∆ABC is congruent to ∆XYZ A B C X Y Z Corresponding parts of these triangles are congruent. AX

7. ∆ABC is congruent to ∆XYZ A B C X Y Z Corresponding parts of these triangles are congruent. BY

8. ∆ABC is congruent to ∆XYZ AB C XY Z Corresponding parts of these triangles are congruent. CZ

9. ∆ABC is congruent to ∆XYZ AB C XY Z Corresponding parts of these triangles are congruent. ABXY

10. ∆ABC is congruent to ∆XYZ A B C X Y Z Corresponding parts of these triangles are congruent. BCYZ

11. ∆ABC is congruent to ∆XYZ A B C X Y Z Corresponding parts of these triangles are congruent. ACXZ

12. ∆BAD is congruent to ∆THE B A DE TH Name all corresponding parts.

13. ∆QRS is congruent to ∆BRX B R Q S X Name all corresponding parts.

14. ∆EFG is congruent to ∆HFG H G F E Name all corresponding parts.

15. 15 Using Corresponding Parts In the diagram, ΔITP  ΔNGO. Find the values of x and y.

16. In the figure, quadrilateral JIHK quadrilateral QRST. Find a. 3a3a 4 b° 6 30° Q 120° R S H I J K c + 10° T

17. In the figure, quadrilateral JIHK quadrilateral QRST. 3a3a 4 b° 6 30° Q 120° R S H I J K c + 10° T Find b.

18. In the figure, quadrilateral JIHK quadrilateral QRST. Find c. 3a3a 4 b° 6 30° Q 120° R S H I J K c + 10° T

19. 19

20. Example 4 Prove That Two Triangles are Congruent Write a two-column proof. Prove:ΔLMN  ΔPON StatementsReasons

21. Example 4 Find the missing information in the following proof. Prove:ΔQNP  ΔOPN Proof: ReasonsStatements 3. Given 3.  Q   O,  NPQ   PNO 2. 2.Reflexive Property of Congruence 5. Definition of Congruent Polygons 5. ΔQNP  ΔOPN 4. _________________ 4.  QNP   ONP ? 1. 1. Given

22. 22 Have a Great Day!!

23. Homework!! Pg. 257 (4 - 20, 24, 28 - 30)