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1. GRADE 8
GEOMETRY

2. TRIANGLE CONGRUENCE
✔ SAS
✔ ASA
✔ SSS

3. At the end of the lesson, the students should
be able to:
1. Recall Correspondence and CPCTC.
1. Illustrate the SAS congruence postulate.
1. Illustrate the ASA congruence postulate.
1. Illustrate the SSS congruence postulate.

4. Recall: Congruent ✔ identical in form; coinciding
exactly when superimposed

5. REVIEW:

6. ✔ identical in form;
coinciding exactly
when superimposed
A
B C
X
Y Z
Correspondence
REVIEW:

7. ✔ identical in form;
coinciding exactly
when superimposed
Correspondence
Corresponding Angles
A, X,
B, Y,
C, Z,
AB XY
AC XZ
BC YZ
Corresponding Sides
REVIEW:

8. ✔ identical in form;
coinciding exactly
when superimposed
Correspondence
Corresponding Angles
A, X,
B, Y,
C, Z,
AB XY
AC XZ
BC YZ
Corresponding Sides
REVIEW:

9. CPCTC – Corresponding Parts of Congruent
Triangles are Congruent.
REVIEW:

10. TRIANGLE CONGRUENCE
✔ SAS
✔ ASA
✔ SSS

11. TRIANGLE CONGRUENCE
similar

12. TRIANGLE CONGRUENCE

13. ✔ identical in form;
coinciding exactly
when superimposed
A
B C
X
Y Z
Correspondence
TRIANGLE CONGRUENCE

14. ✔ identical in form;
coinciding exactly
when superimposed
Correspondence
Corresponding Angles
A, X,
B, Y,
C, Z,
AB XY
AC XZ
BC YZ
Corresponding Sides
TRIANGLE CONGRUENCE

15. ✔ identical in form;
coinciding exactly
when superimposed
Correspondence
Corresponding Angles
A, X,
B, Y,
C, Z,
AB XY
AC XZ
BC YZ
Corresponding Sides
TRIANGLE CONGRUENCE

16. TRIANGLE CONGRUENCE
CPCTC – Corresponding Parts of Congruent
Triangles are Congruent.

17. A
B C
X
Y Z
TRIANGLE CONGRUENCE
CPCTC – Corresponding Parts of Congruent
Triangles are Congruent.

18. TRIANGLE CONGRUENCE
CPCTC – Corresponding Parts of Congruent
Triangles are Congruent.
AAA

19. TRIANGLE CONGRUENCE
✔ SAS
✔ ASA
✔ SSS
AAA

20. TRIANGLE CONGRUENCE
SAS
Side-Angle-Side Congruence Postulate
If two sides and the included angle in one
triangle are congruent to two sides and the
included angle in another triangle, then the
two triangles are congruent.

21. TRIANGLE CONGRUENCE
SAS
Side-Angle-Side Congruence Postulate
If two sides and the included angle in one
triangle are congruent to two sides and the
included angle in one triangle, then the two
triangles are congruent.”

22. TRIANGLE CONGRUENCE
CPCTC – Corresponding Parts of Congruent
Triangles are Congruent.
A
B C
X
Y Z
A X
B Y
C Z
AB XY
BC YZ
AC XZ

23. TRIANGLE CONGRUENCE
CPCTC – Corresponding Parts of Congruent
Triangles are Congruent.
A
B C
X
Y Z
A X
B Y
C Z
AB XY
BC YZ
AC XZ

24. TRIANGLE CONGRUENCE
SAS
Side-Angle-Side Congruence Postulate
If two sides and the included angle
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
A
B C
X
Y Z
AB XY
BC YZ
B Y

25. TRIANGLE CONGRUENCE
SAS
Side-Angle-Side Congruence Postulate
If two sides and the included angle
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
A
B C
X
Y Z
AB XY
BC YZ
B Y

26. TRIANGLE CONGRUENCE
SAS
Side-Angle-Side Congruence Postulate
If two sides and the included angle
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
A
B C
X
Y Z
AB XY
BC YZ
B Y
ABC XYZ

27. TRIANGLE CONGRUENCE
SAS
Side-Angle-Side Congruence Postulate
If two sides and the included angle
in one triangle are congruent to
two angles and the included side in
one triangle, then the two angles
are congruent.”
A
B C
X
Y Z
C Z
AC XZ
BC YZ

28. TRIANGLE CONGRUENCE
SAS
Side-Angle-Side Congruence Postulate
If two sides and the included angle
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
A
B C
X
Y Z
A X
AB XY
AC XZ

29. TRIANGLE CONGRUENCE
✔ SAS
✔ ASA
✔ SSS
SSS AAA

30. TRIANGLE CONGRUENCE
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side in one
triangle are congruent to two angles and
the included side in a second triangle, then
the two triangles are congruent.

31. TRIANGLE CONGRUENCE
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side in one
triangle are congruent to two angles and
the included side in one triangle, then the
two triangles are congruent.”

32. TRIANGLE CONGRUENCE
CPCTC – Corresponding Parts of Congruent
Triangles are Congruent.
A
B C
X
Y Z
A X
B Y
C Z
AB XY
BC YZ
AC XZ

33. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
AB XY
A X
B Y

34. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
AB XY
A X
B Y

35. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
BC YZ
A X
B Y
ABC XYZ

36. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two angles
are congruent.”
BC YZ
A X
B Y

37. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
BC YZ
B Y
C Z

38. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
BC YZ
B Y
C Z

39. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
BC YZ
B Y
C Z

40. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”

41. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
AC XZ
A X
C Z

42. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
AC XZ
A X
C Z

43. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”

44. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”

45. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
AB XY
A X
B Y

46. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
AB XY
A X
B Y

47. TRIANGLE CONGRUENCE
A
B C
X
Y Z
ASA
Angle-Side-Angle Congruence Postulate
If two angles and the included side
in one triangle are congruent to
two angles and the included side in
one triangle, then the two triangles
are congruent.”
AB XY
A X
B Y

48. TRIANGLE CONGRUENCE
✔ SAS
✔ ASA
✔ SSS
SSS AAA

49. TRIANGLE CONGRUENCE
SSS
Side-Side-Side Congruence Postulate
If three sides of one triangle are congruent
to three sides of another triangle, then the
two triangles are congruent.”

50. TRIANGLE CONGRUENCE
SSS
Side-Side-Side Congruence Postulate
If three sides of one triangle are
congruent to three sides of
another triangle, then the two
triangles are congruent.”

51. TRIANGLE CONGRUENCE
A
B C
X
Y Z
SSS
Side-Side-Side Congruence Postulate
If three sides of one triangle are
congruent to three sides of
another triangle, then the two
triangles are congruent.”

52. TRIANGLE CONGRUENCE
A
B C
X
Y Z
SSS
Side-Side-Side Congruence Postulate
If three sides of one triangle are
congruent to three sides of
another triangle, then the two
triangles are congruent.”
AB XY
BC YZ
AC XZ

53. TRIANGLE CONGRUENCE
A
B C
X
Y Z
SSS
Side-Side-Side Congruence Postulate
If three sides of one triangle are
congruent to three sides of
another triangle, then the two
triangles are congruent.”
AB XY
BC YZ
AC XZ
ABC XYZ

54. TRIANGLE CONGRUENCE
✔ SAS
✔ ASA
✔ SSS If three sides of one triangle are congruent to three sides of
another triangle, then the two triangles are congruent.”
If two angles and the included side in one triangle are
congruent to two angles and the included side in one triangle,
then the two angles are congruent.”
If two sides and the included angle in one triangle are congruent
to two angles and the included side in one triangle, then the two
angles are congruent.”

55. TRIANGLE CONGRUENCE
Determine which postulate justifies the following congruence:
SAS

56. TRIANGLE CONGRUENCE
Determine which postulate justifies the following congruence:
SAS

57. TRIANGLE CONGRUENCE
Determine which postulate justifies the following congruence:
SAS

58. TRIANGLE CONGRUENCE
Determine which postulate justifies the following congruence:
SSS

59. TRIANGLE CONGRUENCE
Determine which postulate justifies the following congruence:
SAS

60. TRIANGLE CONGRUENCE
Determine which postulate justifies the following congruence:
SSS

61. At the end of the lesson, the students should
be able to:
1. Recall Correspondence and CPCTC.
1. Illustrate the SAS congruence postulate.
1. Illustrate the ASA congruence postulate.
1. Illustrate the SSS congruence postulate.

62. THANK YOU