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Geometry 5.1
SWLT: Identify Congruent Triangles and Corresponding Parts
Congruent Figures
Two figures are congruent if…
All pairs of corresponding angles are congruent
All pairs of corresponding sides are congruent
Identifying Corresponding Parts
PHD  MBA
List the Congruent
Corresponding Parts
1st Pair of Angles
P  M
2nd Pair of Angles
H  B
3rd Pair of Angles
D  A
1st Pair of Sides
2nd Pair of Sides
3rd Pair of Sides
PH @ MB
P
H
D
M
HD @ BA
PD @ MA
B
A
Using Properties of
Congruent Triangles
Given: ABC  XYZ
A
What is the mA
95°
10
12
C
B
What does XY =
10
Y
X
Order Matters!!!
95°
Z
Order Matters:
Which is the Correct Congruency Statement
H
WCJ  BHO
WJC  BHO
B
CJW  HOB
85°
C
85°
O
16
8
15°
80°
Corresponding Parts must match
8
15°
16
WJC  BOH
Why?
80°
18
J
18
W
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