Congruence of Triangles Class 7 MCQ with Answers

Congruence of Triangles Class 7 MCQ with Answers Maths are covered in this Article. Congruence of Triangles Class 7 MCQ Test contains 7 questions. Answers to MCQs on Congruence of Triangles Class 7 are available at the end of the last question. These MCQ have been made for Class 7 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.

Board CBSE
Textbook Maths (NCERT)
Class Class 7
Chapter Chapter 7 Congruence of Triangles

Congruence of Triangles Class 7 MCQ with Answers

1.Find the property under which the given triangles are congruent ?

(a) RHS

(b) SAS

(c) SSS

Answer

Answer: (a) RHS

Explanation: Given: ∆ABC and ∆PQR are congruent triangles

In ∆ABC and ∆PQR

AB = PQ

AC = RQ

∠ABC = ∠QPR = 90˚

∆ABC and ∆PQR both are right angled triangles [ one angle in both these triangles is equal to 90˚] and their hypotenuse and one side is also equal.

Hence, it satisfies RHS (Right Angle-Hypotenuse-Side) property of congruence.





2.Find the property under which the given triangles are congruent ?

(a) SSS

(b) SAS

(c) ASA

Answer

Answer: (c) ASA

Explanation: Given: ∆ABC and ∆PQR are congruent triangles

In ∆ABC and ∆PQR

AB = PQ (Corresponding Sides are equal)

∠BAC = ∠PQR (Corresponding Angles are equal)

∠ABC = ∠RPQ (Corresponding Angles are equal)

In ∆ABC and ∆PQR two angles and the included side are equal.

Hence, it satisfies ASA (Angle-Side-Angle) property of congruence.


 

3.Find the property under which the given triangles are congruent ?

(a) RHS

(b) SAS

(c) ASA

Answer

Answer: (b) SAS

Explanation: Given: ∆STU and ∆XYZ are congruent triangles

In ∆STU and ∆XYZ

SU = XY (Corresponding Sides are equal)

∠TSU = ∠ZXY = 65˚ (Corresponding Angles are equal)

ST = XZ (Corresponding Sides are equal)

In ∆STU and ∆XYZ, two Corresponding sides and the included angle are equal.

Hence, it satisfies SAS (Side Angle Side) property of congruence.


 

Congruence of Triangles Class 7 MCQ with Answers

4.Find the property under which the given triangles are congruent ?

(a) SAS

(b) SSS

(c) ASA

Answer

Answer: (b) SSS

Explanation: Given: ∆MNO and ∆XYZ are congruent triangles

In ∆MNO and ∆XYZ

MO = XZ (Corresponding Sides are equal)

MN = XY (Corresponding Sides are equal)

NO = YZ (Corresponding Sides are equal)

In ∆MNO and ∆XYZ three sides are equal.

Hence, it satisfies SSS (Side-Side-Side) property of congruence.


 

5. Find the property under which the given triangles are congruent ?

(a) RHS

(b) SAS

(c) ASA

Answer

Answer: (b) SAS

Explanation: Given: ∆ABC and ∆PQR are congruent triangles

In ∆ABC and ∆PQR

AB = PR (Corresponding Sides are equal)

∠BAC = ∠RPQ = 40˚ (Corresponding Angles are equal)

AC = PQ (Corresponding Sides are equal)

In ∆ABC and ∆PQR, two Corresponding sides and the included angle are equal.

Hence, it satisfies SAS (Side Angle Side) property of congruence.





6.Find the property under which the given triangles are congruent ?

(a) SAS

(b) SSS

(c) ASA

Answer

Answer: (b) SSS

Explanation: Given: ∆STU and ∆XYZ are congruent triangles

In ∆STU and ∆XYZ

SU = XY (Corresponding Sides are equal)

TU = YZ (Corresponding Sides are equal)

ST = XZ (Corresponding Sides are equal)

In ∆STU and ∆XYZ three sides are equal.

Hence, it satisfies SSS (Side-Side-Side) property of congruence.


 

7.Find the property under which the given triangles are congruent ?

(a) RHS

(b) SAS

(c) ASA

Answer

Answer: (a) RHS

Explanation: Given: ∆XYZ and ∆PQR are congruent triangles

In ∆XYZ and ∆PQR

XY = PQ

XZ = RQ

∠XYZ = ∠QPR = 90˚

∆XYZ and ∆PQR both are right angled triangles [one angle in both these triangles is equal to 90˚] and their hypotenuse and one side is also equal.

Hence, it satisfies RHS (Right Angle-Hypotenuse-Side) property of congruence.


 

MCQ Questions for Class 7 Maths with Answers

Frequently Asked Questions on Congruence of Triangles Class 7 MCQ with Answers

1. Are these MCQ on Congruence of Triangles Class 7 are based on 2021-22 CBSE Syllabus?

Yes. There are 7 MCQ’s on this Chapter in this blog.

2. Are you giving all the chapters of Maths Class 7 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?

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