Lesson 2A – Writing Congruence Statements
Name: _______________________________
1. Take a good look at these figures…
a) In some ways, all of the objects above are the same. Explain.
b) In some ways, they are different. Explain.
c) What do we mean by “congruent”?
d) Which squares are congruent?
+
=

1
2. How do we write it? How do we say it?
a) Triangles
A
Congruence statement:
J
In words:
B
C
W
R
b) Segments
Congruence statement:
S
R
In words:
Q
P
c) Angles
Congruence statement:
E
In words:
40
N
40
O
A
T
d) Quadrilaterals
B
Congruence statement:
D
N
In words:
C
M
O
P
A
2
3. More Triangles
 Find 1 pair of congruent triangles and shade them with 2 different colored pencils.
 Write congruence statements.
a)
b)
B
A
X
W
P
V
Z
Y
C
D
c)
d)
I
K
M
T
M
N
P
O
E
e)
f)
T
R
O
U
S
H
S
N
T
E
P
Q
R
3
4. Segments and Angles
 Write a congruence statement for each pair of congruent segments and for each pair of
congruent angles
a)
P
17
A
130
Congruent angles and segments:
50 
10
10
130
R
50 
K
17
b)
Congruent angles and segments:
G
25  25 
13
13
65 
F
65 
5
5
H
I
c)
Congruent angles and segments:
L
M
60 
120 60 
J
K
80 
O
40 
40 
140
N
P
4
Writing Congruence Statements for Corresponding Parts
 If two triangles are congruent, then their corresponding sides and angles are congruent as well.
Directions:
 The following pairs of triangles are congruent. Write congruence statements for the following
triangles. List all the congruent angles and sides.
5)
6)
a) Congruence statement:
a) Congruence statement:
b) Corresponding parts:
b) Corresponding parts:
7)
8)
a) Congruence statement:
a) Congruence statement:
b) Corresponding parts:
b) Corresponding parts:
5
9) Write a congruence statement for the shapes below. List the congruent angles and sides.
a) Congruence statement:
b) Corresponding parts:
__________________________________________________________________________________________
10) Write a congruence statement for the shapes below. List the congruent angles and sides.
a) Congruence statement:
b) Corresponding parts:
6