Download Introduction to Triangle Congruence Proofs

Algebra & Analytic Geometry
Unit 3 – Triangle Congruence Proofs
Name & Date
INTRODUCTION
**Geometric figures are congruent if they are the same
.
**Corresponding angles and corresponding sides are in the same position in polygons with an equal number of
sides.
**Two polygons are congruent polygons if and only if their
.
1) If ABC DEF , then list and mark all of the congruent corresponding angles and corresponding sides.
B
A
Corresponding Angles:
C
F
Corresponding Sides:
E
D
2) Given: FGH JKL . Identify the congruent corresponding parts.
Right Angles Theorem:
Third Angles Theorem:
K
I
H
3)
J
M
Given: YWX and YWZ are right angles
L
Y
YW bisects XYZ
W is the midpoint of XZ
XY  YZ
Prove: XYW ZYW
Statements
X
Reasons
W
Z
Algebra & Analytic Geometry
Unit 3 – Triangle Congruence Proofs
4)
Name & Date
INTRODUCTION
D
Given: C is the midpoint of AD and BE
A  D ; AB  DE
B
Prove: ABC DEC
C
E
A
Statements
Reasons
Q
5)
Given: P and M are right angles
R is the midpoint of PM
PQ  MN ; QR  NR
Prove: PQR MNR
M
P
R
N
Statements
Reasons