3-Congruence-matharvaheof-Triangles.pptx

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1. Objectives: Identify the corresponding vertices and congruent parts of congruent triangles List down congruent parts of congruent triangles Name congruent triangles

2. Congruence Triangles Prepared by: Jena P. Ferolino

3. Describe:

4. Congruent Two shapes are congruent if they have the same shape and the same size. mirror image  

5. Congruent Triangles triangles that have the same size and shape . the corresponding sides and corresponding angles are equal .

6. Two triangles are congruent if and only if their vertices can be paired A  E B  N C  J Correspondence Between Vertices

7. Two triangles are congruent if and only if their vertices can be paired so that corresponding sides and angles are congruent . AB  EN BC  NJ CA  JE Corresponding Sides Name the corresponding vertices in the same order

8. Two triangles are congruent if and only if their vertices can be paired so that corresponding sides and angles are congruent . A  E  B  N  C  J Corresponding Angles Name the corresponding vertices in the same order

9.  ABC  ENJ

10. Corresponding Parts of Congruent Triangles are Congruent (CPCTC) Name the corresponding vertices in the same order

11. Activity: List down the congruence between segments and between angles similarly marked in the figure below. Name the congruent triangles.

12. Answer to the Activity: A  X  A   X AB  XY B  Y  B   Y BC  YZ C  Z  C   Z AC  XZ    ABC   XYZ

13. A  D  A   D AB  DC B  C  ABC   DCB BC  CB C  B  ACB   DBC AC  DB  ABC   DCB

14. Listed below are the six pairs of corresponding parts of two congruent triangles. Name and draw the two congruent triangles 1. P  S Q  T R  U PQ  ST QR  TU PR  SU 2. NJA  JNE E  A EJN  ANJ EN  AJ JN  NJ EJ  AN

15. Activity Sheet: Name the corresponding vertices, congruent corresponding parts and congruent triangles