Congruence of Triangles Practice Questions
Class 7 · Mathematics · 932 free MCQs with instant results and detailed explanations.
932
Total
289
Easy
457
Medium
186
Hard
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Topics in Congruence of Triangles
SAS
220
SSS
287
RHS
220
ASA
205
Sample Questions from Congruence of Triangles
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
If two triangles have sides of lengths 5 cm, 6 cm, and 7 cm, can they be congruent to another triangle with sides 5 cm, 6 cm, and 7 cm?
A.
Yes, they are congruent.
B.
No, they cannot be congruent.
C.
Only if their angles are equal.
D.
Only if they have the same area.
Show Answer & Explanation
Correct Answer: A
The triangles are congruent by SSS (Side-Side-Side) congruence criterion because all corresponding sides are equal.
Q2
Easy
Which of the following statements is true about triangles that are congruent by the SSS criterion?
A.
They have the same perimeter.
B.
They must be similar.
C.
They have different angles.
D.
They can be of different shapes.
Show Answer & Explanation
Correct Answer: A
Congruent triangles have all sides and angles equal, hence they will also have the same perimeter.
Q3
Easy
Triangle ABC is congruent to triangle DEF by SSS. If side AB = 4 cm, AC = 5 cm, and BC = 6 cm, what is the length of side DE?
A.
4 cm
B.
5 cm
C.
6 cm
D.
It cannot be determined.
Show Answer & Explanation
Correct Answer: A
Since the triangles are congruent, the corresponding sides are equal; thus DE = AB = 4 cm.
Q4
Medium
In triangle ABC, if AB = 5 cm, BC = 7 cm, and AC = 5 cm, which of the following statements is true?
A.
Triangle ABC is isosceles.
B.
Triangle ABC is equilateral.
C.
Triangle ABC cannot exist.
D.
Triangle ABC is scalene.
Show Answer & Explanation
Correct Answer: A
Triangle ABC is isosceles because two of its sides (AB and AC) are equal in length.
Q5
Medium
If two triangles have sides 6 cm, 8 cm, and 10 cm, and 6 cm, 8 cm, and 10 cm respectively, what can be concluded about the triangles?
A.
The triangles are congruent by SSS.
B.
The triangles are similar only.
C.
The triangles are not related.
D.
The triangles are congruent by ASA.
Show Answer & Explanation
Correct Answer: A
Both triangles have identical side lengths, thus they are congruent by the SSS criterion.
Q6
Medium
If triangle XYZ is congruent to triangle ABC by SSS, which relationship holds true?
A.
XY = AB, YZ = BC, XZ = AC.
B.
XY = AC, YZ = BC, XZ = AB.
C.
XY + YZ = AB + BC.
D.
All angles are equal.
Show Answer & Explanation
Correct Answer: A
Congruent triangles have corresponding sides that are equal in length.
Q7
Medium
Which set of lengths can form a triangle that is congruent to triangle DEF with sides 9 cm, 12 cm, and 15 cm?
A.
9 cm, 12 cm, 15 cm.
B.
8 cm, 10 cm, 12 cm.
C.
9 cm, 12 cm, 14 cm.
D.
7 cm, 9 cm, 11 cm.
Show Answer & Explanation
Correct Answer: A
Only the set of lengths 9 cm, 12 cm, and 15 cm matches the sides of triangle DEF, making them congruent.
Q8
Hard
In triangle ABC, the lengths of the sides are AB = 6 cm, BC = 8 cm, and AC = 10 cm. If triangle DEF is such that DE = 6 cm, EF = 8 cm, and DF = 10 cm, which statement about the triangles is true?
A.
Triangle ABC is congruent to triangle DEF by SSS.
B.
Triangle ABC is not congruent to triangle DEF.
C.
Triangle DEF is larger than triangle ABC.
D.
They are similar but not congruent.
Show Answer & Explanation
Correct Answer: A
Both triangles have sides of the same lengths, hence they are congruent by the SSS criterion.
Q9
Hard
If triangle PQR is congruent to triangle XYZ, and PQ = 15 cm, QR = 20 cm, and PR = 25 cm, what is the length of XY?
A.
15 cm
B.
20 cm
C.
25 cm
D.
Cannot be determined
Show Answer & Explanation
Correct Answer: A
Since the triangles are congruent, corresponding sides are equal. Thus, XY must equal PQ, which is 15 cm.
Q10
Hard
Which of the following pairs of triangles are congruent by SSS?
A.
Triangle A: 5 cm, 7 cm, 9 cm; Triangle B: 5 cm, 7 cm, 8 cm
B.
Triangle C: 4 cm, 6 cm, 8 cm; Triangle D: 4 cm, 6 cm, 8 cm
C.
Triangle E: 10 cm, 12 cm, 14 cm; Triangle F: 10 cm, 11 cm, 14 cm
D.
Triangle G: 3 cm, 4 cm, 5 cm; Triangle H: 3 cm, 4 cm, 6 cm
Show Answer & Explanation
Correct Answer: B
Triangles C and D have all sides equal (4 cm, 6 cm, 8 cm), making them congruent by SSS.
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Congruence of Triangles — Class 7 Mathematics Practice Questions Online
This page contains 932 practice MCQs for the chapter Congruence of Triangles in Class 7 Mathematics. The questions are organized by difficulty — 289 easy, 457 medium, 186 hard — so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.