Class 9 Exam  >  Class 9 Notes  >  Mathematics (Maths) Class 9  >  Visual Worksheet: Congruent Triangles

Visual Worksheet: Congruent Triangles | Mathematics (Maths) Class 9 PDF Download

Download, print and study this document offline
Please wait while the PDF view is loading
 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
Read More
40 videos|560 docs|57 tests

FAQs on Visual Worksheet: Congruent Triangles - Mathematics (Maths) Class 9

1. What are congruent triangles?
Ans. Congruent triangles are triangles that are identical in shape and size. This means that their corresponding sides and angles are equal. If you were to superimpose one triangle onto another, they would match perfectly.
2. How can you determine if two triangles are congruent?
Ans. Two triangles can be determined as congruent using several criteria: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-Leg (HL) for right triangles. If any of these conditions are met, the triangles are congruent.
3. Why is it important to study congruent triangles?
Ans. Studying congruent triangles is important because they help in understanding the properties of shapes and geometric figures. They are fundamental in proofs, constructions, and solving real-world problems in areas such as architecture, engineering, and design.
4. Can two triangles be congruent if they have different orientations?
Ans. Yes, two triangles can be congruent even if they are oriented differently. As long as their corresponding sides and angles are equal, the triangles are considered congruent regardless of their position or rotation in space.
5. What is the difference between congruent triangles and similar triangles?
Ans. The main difference is that congruent triangles are identical in both shape and size, while similar triangles have the same shape but may differ in size. In similar triangles, corresponding angles are equal, and corresponding sides are proportional.
Related Searches

shortcuts and tricks

,

video lectures

,

past year papers

,

Previous Year Questions with Solutions

,

Free

,

practice quizzes

,

Summary

,

study material

,

MCQs

,

Visual Worksheet: Congruent Triangles | Mathematics (Maths) Class 9

,

Exam

,

Viva Questions

,

Visual Worksheet: Congruent Triangles | Mathematics (Maths) Class 9

,

Objective type Questions

,

Extra Questions

,

Sample Paper

,

ppt

,

Semester Notes

,

pdf

,

Visual Worksheet: Congruent Triangles | Mathematics (Maths) Class 9

,

Important questions

,

mock tests for examination

;