Algebra & Analytic Geometry
Unit 3 – Triangle Congruence Proofs
Name & Date
SSS and SAS
Exploring the Concept: SSS and SAS
A) Place three pencils of different lengths so they make a triangle.
B) Mark each vertex of your triangle by pressing the pencil points to the paper.
C) Remove the pencils and draw the sides of your triangle.
D) Have your partner repeat steps A-C using the same three pencils. Try to make a triangle that is not
congruent to the one you drew.
Side-Side-Side Congruence Postulate (SSS)
Side-Angle-Side Congruence Postulate (SAS)
Directions: Decide whether the congruence statement is true. Justify your answer with a congruence
postulate.
1)
2)
DKA  SKT
3)
Directions: Decide whether the triangles are congruent. If yes, provide a congruence postulate and a
congruence statement. (Make sure each corresponding part matches.)
4)
7)
5)
6)
Algebra & Analytic Geometry
Unit 3 – Triangle Congruence Proofs
Name & Date
SSS and SAS
Directions: Decide whether the triangles are congruent. If yes, provide a congruence postulate and a
congruence statement. (Make sure each corresponding part matches.)
8)
9)
10)
11)
12)
13)
Y
14)
Given: W is the midpoint of XZ ; XY  YZ
Prove: XYW ZYW
X
Statements
15)
Given: l//m; EG  HF
Z
W
Reasons
E
G
l
Prove: EGF HFG
m
F
Statements
Reasons
H