This is a copy of Mathematics 8 Quarter 3 Week 4

1. Triangle Congruence
Postulates/Theorems

2. Triangle Congruence Postulates
SAS (Side-Angle-Side) Congruence Postulates
If the two sides and an included angles of one
triangle congruent to the corresponding two
sides and the included angle of another triangle,
then the triangles are congruent.

3. Illustration of SAS rule:
Given that: AB ≅ PR, ∠BAC ≅ ∠RPQ, AC ≅ PQ
△BAC ≅ △RPQ
then,

4. ASA (Angle-Side-Angle) Congruence Postulates
If two angles and the included side of one triangle
are congruent to the corresponding two angles and
included side of another angles, then the triangles
are congruent.

5. Given that: ∠BCA ≅ ∠PQR, ∠BAC ≅ ∠PRQ,
CA≅ QR,
then, △BCA ≅ △PRQ

6. SSS (Side-Side-Side) Congruence Postulates
If the three sides of one triangle are congruent to
the three sides of another triangle, then the
triangles are congruent
Q
P R
A
C
B

7. GIVEN THAT: BA ≅ RP, BC≅ RQ
AC≅ PQ,
then, △ABC ≅ △PRQ

8. Exercises :
State the congruence postulate illustrated in the
given congruent triangles.
1.______
5.______
2.______
3.______
4.______
ASA
LL
SAS
SAS
SSS

12. Exercises :
Using the markings in the corresponding
congruent parts in each pair of triangles to show
the specified congruence postulate, complete the
congruence statements.
1. △ABC ≅ △___ by
SAS
EDC

13. 2. △BAE ≅ △___ by LL
3. △ABC ≅ △___ by ASA
ECB
ABD

14. Exercises :
Write SSS, ASA, SAS, LL, HL,LA,HA
ASA LL SAS SSS