Triangle Congruence Theorem Presentation

School purposes

1. Morning! Good

2. Prayer

3. Teacher Jam

4. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate

5. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate What congruence postulate I am?

6. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate What congruence postulate I am?

7. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate What congruence postulate I am?

8. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate What congruence postulate I am?

9. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate What congruence postulate I am?

10. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate What congruence postulate I am?

11. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate If the two sides and an included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the triangles are congruent. What congruence postulate I am?

12. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate If the two sides and an included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the triangles are congruent. What congruence postulate I am?

13. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate If the two angles and the included side of one triangle are congruent to the corresponding two angles and the included side of another triangle, then the triangles are congruent. What congruence postulate I am?

14. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate If the two angles and the included side of one triangle are congruent to the corresponding two angles and the included side of another triangle, then the triangles are congruent. What congruence postulate I am?

15. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. What congruence postulate I am?

16. LET’S RECALL SAS Congruence Postulate SSS Congruence Postulate ASA Congruence Postulate If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. What congruence postulate I am?

17. LEARNING OBJECTIVES At the end of the lesson, you learners are expected to… Illustrate the AAS, HyA , HyL , LA, and LL Congruence Theorem; Show interest on the importance of congruent triangle; and Select the correct congruence triangle.

18. CLASSROOM RULES L - isten when the teacher is talking. E - ngage by raising your hand to speak. A - ct kindly and respectfully. D - emonstrate good behavior.

19. ACTIVITY Instructions : The class is divided into 10 groups , each receiving one triangle. Groups will walk around and compare their triangles with others to find the exact matching triangle . Once a group finds its match, they will sit together, forming 5 larger groups. 1st group 5 pts, 2nd 4 pts 3rd 3 pts 4th-5th 2 pts

20. Activity The teacher will give worksheets each group to paste their triangles and determines which congruence theorem applies to the triangles using the guide question . After deciding on the theorem, each group write the answer along with an explanation of “ why you chose that theorem ”. After 5 minutes of answering, each group choose one representative to present their answers.

21. ANALYSIS How did you find the group with the same triangle as yours? What did you check to make sure both triangles were exactly the same? What did you learn about congruent triangles from this activity?

22. ABSTRACTION AAS (Angle-Angle-Side) Congruence Theorem If two angles and the non-included side of one triangle are congruent respectively to the two angles and the non-included side of another triangle, then the two triangles are congruent. A B C E D F

23. ABSTRACTION A AS ( Angle -Angle-Side) Congruence Theorem D E F B A C

24. ABSTRACTION A AS ( Angle -Angle-Side) Congruence Theorem D E F B A C

25. ABSTRACTION AA S ( Angle - Angle -Side) Congruence Theorem D E F B A C

26. ABSTRACTION AAS ( Angle - Angle - Side ) Congruence Theorem D E F B A C

27. ABSTRACTION Another theorem that can be deduced from the congruence postulates is the congruence of right triangles.

28. ABSTRACTION HyA (Hypotenuse-Acute angle) Congruence Theorem If the hypotenuse and an acute angle of one right triangle are congruent to the corresponding hypotenuse and an acute angle of another right triangle, then the triangles are congruent. A B C D E F

29. ABSTRACTION Hy A ( Hypotenuse -Acute angle) Congruence Theorem A B C D E F

30. ABSTRACTION HyA ( Hypotenuse - Acute angle ) Congruence Theorem A B C D E F

31. ABSTRACTION HyL (Hypotenuse-Leg) Congruence Theorem If the hypotenuse and a leg of one right triangle are congruent to the corresponding hypotenuse and a leg of another triangle, then the triangles are congruent. A B C D E F

32. ABSTRACTION Hy L ( Hypotenuse -Leg) Congruence Theorem A B C D E F

33. ABSTRACTION HyL ( Hypotenuse - Leg ) Congruence Theorem A B C D E F

34. ABSTRACTION LA (Leg-Acute angle) Congruence Theorem If a leg and an acute angle of one right triangle are congruent to a leg and an acute angle of another right triangle, then the triangles are congruent. A B C D E F

35. ABSTRACTION L A ( Leg -Acute angle) Congruence Theorem A B C D E F

36. ABSTRACTION LA ( Leg-Acute angle ) Congruence Theorem A B C D E F

37. ABSTRACTION LL (Leg-Leg) Congruence Theorem If the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent. A B C D E F

38. ABSTRACTION L L ( Leg -Leg) Congruence Theorem A B C D E F

39. ABSTRACTION LL ( Leg - Leg ) Congruence Theorem A B C D E F

40. GENERALIZATION

41. APPLICATION

42. QUIZ