Class 7 Mathematics
Chapter 7: Congruence of Triangles
MCQs with Answers & Explanations
Q1. Two triangles are congruent if they have:
A. Same shape only
B. Same size only
C. Same shape and same size
D. Same perimeter
Correct Answer: C
Explanation:
Congruent triangles must have both the same shape and the same size.
Just having the same perimeter or shape is not enough.
Q2. Which congruence rule is used when all three sides of one triangle are equal to the three sides of another triangle?
A. SAS
B. ASA
C. RHS
D. SSS
Correct Answer: D
Explanation:
When all three corresponding sides are equal, we use the
SSS (Side-Side-Side) congruence rule.
Q3. The congruence rule that applies only to right-angled triangles is:
A. SSS
B. SAS
C. ASA
D. RHS
Correct Answer: D
Explanation:
The RHS rule is used only for right-angled triangles.
It compares the Right angle, Hypotenuse, and one Side.
Q4. In the SAS congruence rule, which parts must be equal?
A. Two angles and one side
B. Two sides and one angle between them
C. Three angles
D. Three sides
Correct Answer: B
Explanation:
SAS means Side–Angle–Side.
The angle must be between the two sides.
Q5. Which rule states that if two angles and the included side of one triangle are equal to those of another triangle, then the triangles are congruent?
A. SAS
B. RHS
C. ASA
D. SSS
Correct Answer: C
Explanation:
ASA stands for Angle–Side–Angle.
The side must be between the two equal angles.
Q6. Are two triangles with equal perimeters always congruent?
A. Yes
B. No
C. Sometimes
D. Cannot say
Correct Answer: B
Explanation:
Triangles may have the same perimeter but different side lengths.
So, they may not be congruent.
Q7. If △ABC ≅ △PQR, which of the following is true?
A. AB = PQ only
B. ∠A = ∠P only
C. All corresponding sides and angles are equal
D. Perimeters are equal only
Correct Answer: C
Explanation:
Congruent triangles have all corresponding sides and angles equal.
Shaktimatha CBSE Learning
Class 7 Mathematics – Chapter 7
MCQs with Explanations
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