CPCTC-lesson-17.1.pptx

corresponding parts of congruent triangles are congruent

1. CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

2. OBJECTIVE

3. Solve corresponding parts of congruent triangles; and Prove that two triangles are congruent

4. I AM EQUAL TO YOU

5. Given the is congruent to , complete the following statements.   B A C Q P

6. I.   B A C Q P 10cm

7. B A C Q P 6 cm II.  

8. B A C Q P 5cm III.  

9. B A C Q P       IV.  

10. Know me more!

11. CPCTC(Corresponding parts of Congruent triangles are congruent) Corresponding parts of congruent triangles, when two triangles are proved to be congruent, then each part of one triangle – three sides and three angles, is congruent to the corresponding parts of the other triangle

12. Given: , Prove:   Example 1 A B C D

13. Given: , Prove:   A B C D Statements Reasons , Given 2. 2. Parallel – Alternative Interior Angle Postulate 3. 3. Reflexive Property of Congruence 4. 4. SAS Postulate 5. : 5. CPCTC Statements Reasons Given 2. Parallel – Alternative Interior Angle Postulate 3. Reflexive Property of Congruence 4. SAS Postulate 5. CPCTC

14. Given: , Prove:   Example 2 A B D C

15. A B D C Given: , Prove:   Given 2. Reflexive Property of Congruence 3. ASA Postulate 4. CPCTC Given Reflexive Property of Congruence ASA Postulate CPCTC