1. Congruent Triangles

2. Congruent Triangles In order to prove congruent triangles you require three pieces of information.

3. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.

4. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS

5. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS)

6. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS)

7. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS)

8. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS)

9. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS)

10. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS)

11. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS)

12. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS)

13. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS)

14. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS)

15. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS) NOTE: must be included angle

16. (3) Angle-Angle-Side (AAS)

17. (3) Angle-Angle-Side (AAS)

18. (3) Angle-Angle-Side (AAS)

19. (3) Angle-Angle-Side (AAS)

20. (3) Angle-Angle-Side (AAS)

21. (3) Angle-Angle-Side (AAS) NOTE: sides must be in the same position

22. (3) Angle-Angle-Side (AAS) NOTE: sides must be in the same position (4) Right Angle-Hypotenuse-Side (RHS)

23. (3) Angle-Angle-Side (AAS) NOTE: sides must be in the same position (4) Right Angle-Hypotenuse-Side (RHS)

24. (3) Angle-Angle-Side (AAS) NOTE: sides must be in the same position (4) Right Angle-Hypotenuse-Side (RHS)

25. (3) Angle-Angle-Side (AAS) NOTE: sides must be in the same position (4) Right Angle-Hypotenuse-Side (RHS)

26. (3) Angle-Angle-Side (AAS) NOTE: sides must be in the same position (4) Right Angle-Hypotenuse-Side (RHS)

27. e.g. (1985) A B C D S In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at right angles, and

28. e.g. (1985) A B C D S In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at right angles, and ( i ) Prove DA = AB

29. e.g. (1985) A B C D S In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at right angles, and ( i ) Prove DA = AB

30. e.g. (1985) A B C D S In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at right angles, and ( i ) Prove DA = AB

31. e.g. (1985) A B C D S In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at right angles, and ( i ) Prove DA = AB

32. e.g. (1985) A B C D S In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at right angles, and ( i ) Prove DA = AB

33. e.g. (1985) A B C D S In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at right angles, and ( i ) Prove DA = AB

34. ( ii ) Prove DC = CB

35. ( ii ) Prove DC = CB

36. ( ii ) Prove DC = CB

37. ( ii ) Prove DC = CB

38. ( ii ) Prove DC = CB

39. ( ii ) Prove DC = CB

40. ( ii ) Prove DC = CB Types Of Triangles Isosceles Triangle A B C

41. ( ii ) Prove DC = CB Types Of Triangles Isosceles Triangle A B C

42. ( ii ) Prove DC = CB Types Of Triangles Isosceles Triangle A B C

43. ( ii ) Prove DC = CB Types Of Triangles Isosceles Triangle Equilateral Triangle A B C A B C

44. ( ii ) Prove DC = CB Types Of Triangles Isosceles Triangle Equilateral Triangle A B C A B C

45. ( ii ) Prove DC = CB Types Of Triangles Isosceles Triangle Equilateral Triangle A B C A B C

46. Triangle Terminology

47. Triangle Terminology Altitude: ( perpendicular height) Perpendicular from one side passing through the vertex

48. Triangle Terminology Altitude: ( perpendicular height) Perpendicular from one side passing through the vertex

49. Triangle Terminology Altitude: ( perpendicular height) Perpendicular from one side passing through the vertex Median: Line joining vertex to the midpoint of the opposite side

50. Triangle Terminology Altitude: ( perpendicular height) Perpendicular from one side passing through the vertex Median: Line joining vertex to the midpoint of the opposite side

51. Triangle Terminology Altitude: ( perpendicular height) Perpendicular from one side passing through the vertex Median: Line joining vertex to the midpoint of the opposite side Right Bisector: Perpendicular drawn from the midpoint of a side

52. Triangle Terminology Altitude: ( perpendicular height) Perpendicular from one side passing through the vertex Median: Line joining vertex to the midpoint of the opposite side Right Bisector: Perpendicular drawn from the midpoint of a side

53. Exercise 8C; 2, 4beh, 5, 7, 11a, 16, 18, 19a, 21, 22, 26