Visual Worksheet: Congruent Triangles | Mathematics Olympiad for Class 9 PDF Download

 Page 1


CONGRUENT TRIANGLES
Look closely at the pairs of congruent triangles below. Determine which congruence test each pair satisfies. 
Then, label each pair and explain your answer in the space provided.
Write your 
explanation here.
Write your 
explanation here.
Write your 
explanation here.
Write your 
explanation here.
S
U
M
N
Q
P
R
O
T
K
L
J
[Congruence 
Test]
[Congruence 
Test]
[Congruence 
Test]
[Congruence 
Test]
A
B
C G
H
I
D E
F
Y X
Z
Page 2


CONGRUENT TRIANGLES
Look closely at the pairs of congruent triangles below. Determine which congruence test each pair satisfies. 
Then, label each pair and explain your answer in the space provided.
Write your 
explanation here.
Write your 
explanation here.
Write your 
explanation here.
Write your 
explanation here.
S
U
M
N
Q
P
R
O
T
K
L
J
[Congruence 
Test]
[Congruence 
Test]
[Congruence 
Test]
[Congruence 
Test]
A
B
C G
H
I
D E
F
Y X
Z
The pair of triangles
satisfies the RHS (Right
Angle-Hypotenuse-Side)
test because they are
right triangles with an
equal hypotenuse and 
a corresponding side.
CONGRUENT TRIANGLES
Look closely at the pairs of congruent triangles below. Determine which congruence test each pair satisfies. 
Then, label each pair and explain your answer in the space provided.
The pair of triangles
satisfy the SAS 
(Side-Angle-Side) test
because two pairs of
sides and their included
angles are equal.
The pair of triangles
satisfies the AAS 
(Angle-Angle-Side) 
test because two pairs
of angles and their
included sides are
equal.
The pair of triangles
satisfy the SSS 
(Side-Side-Side) test
because all of their
sides are equal.
D E
F
Y X
Z
M
N
Q
P
R
O
A N S W E R
K E Y
S S S A A S
S A S R H S
A
B
C G
H
I
S
U
T
K
L
J