### 4-2 Some Ways to Prove Triangles Congruent

```ANSWERS TO EVENS
2) I
4) IG
6) BGI
8) Definition of Congruent Triangles
10) a) KRO b) S, K, CPCTC
c) KO, CPCTC, SK
d) angle R, CPCTC, alt int angles are congruent
12) (7,2)
4-2 SOME WAYS TO PROVE
TRIANGLES CONGRUENT
POSTULATES TO PROVE 2 TRIANGLES ARE
CONGRUENT

SSS

Side-Side-Side: If 3 sides of a ∆ are congruent to 3
sides of another ∆, then the ∆’s are congruent.
POSTULATES TO PROVE 2 TRIANGLES ARE
CONGRUENT

SAS

Side-Angle-Side: If 2 sides and the included angle of
a ∆ are congruent to 2 sides and the included angle of
another ∆, then the ∆’s are congruent.
Included:
in between
the 2 sides
POSTULATES TO PROVE 2 TRIANGLES ARE
CONGRUENT

ASA

Angle-Side-Angle: If 2 angles and the included side
of a ∆ are congruent to 2 angles and the included side
of another ∆, then the ∆’s are congruent.
Included:
in between
the 2
angles
GIVEN: OK BISECTS ANGLE MOT, OM = OT
PROVE: ∆MOK = ∆TOK
Statement
Reason
O
OK bisects
angle MOT
Given
12
OM = OT
1
T
M
2
OK = OK
∆MOK = ∆TOK
Definition of
angle bisector
Reflexive
SAS
K
TOO

Page 124 #4-9
4) Yes, ASA
5) Yes, SSS
6) Yes, SAS
7) No
8) No
9) No
HOMEWORK
Worksheet 4-2
 Flash Cards

SSS
 SAS
 ASA

```