Congruence of Triangles MCQ Questions for Class 7 Maths Chapter 7 with Answers

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Q1. Which angle is included between the sides DE and EF of △DEF?

(i) ∠F
(ii) ∠D
(iii) ∠E
(iv) None of these

(iii) ∠E

Q2. Number of elements of a triangle is:

(i) 2
(ii) 3
(iii) 4
(iv) 6

(iv) 6

Q3. ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RPQ, then the part of ΔABC that correspond to PQ is

(i) AC
(ii) AB
(iii) BC
(iv) None of These

(iii) BC

(i) =
(ii) ↔
(iii) ≡
(iv) ≅

(ii) ↔

(i) ∠X
(ii) ∠Z
(iii) ∠N
(iv) ∠O

(iii) ∠N

Q6. In ΔABC and ΔDEF, AC = DF,AB = DE and BC=EF. By which property are ΔABC and ΔDEF congruent?

(i) R.H.S. property
(ii) S.S.S. property
(iii) S.A.S. property
(iv) A.S.A. property

(ii) S.S.S. property

Q7. Two figures are said to be congruent, if they have exactly the same:

(i) length and width
(ii) shape and size
(iii) area
(iv) perimeter

(ii) shape and size

Q8. ΔABC is right triangle in which ∠A = 90° and AB = AC. The values of ∠B and ∠C will be

(i) ∠B = ∠C = 30°
(ii) ∠B = ∠C = 50°
(iii) ∠B = ∠C = 45°
(iv) ∠B = ∠C = 60°

(iii) ∠B = ∠C = 45°

(i) 2
(ii) 4
(iii) 6
(iv) 3

(iii) 6

(i) ∠N
(ii) ∠M
(iii) ∠Z
(iv) ∠X

(iii) ∠Z

Q11. If the vertical angle of a isosceles triangle is 40°, then measure of other two angles will be

(i) 60°, 60°
(ii) 80°, 80°
(iii) 70°, 70°
(iv) 45°, 45°

(iii) 70°, 70°

Q12. Given below are measurements of some parts of two triangles. Write the result in symbolic form.In ΔABC, ∠B = 90°, AC 8 cm AB = 3 cm andΔPQR ,∠P = 90°, PR = 3 cm QR = 8 cm

(i) ΔABC ≡ ΔRPQ
(ii) ΔABC ≡ ΔPQR
(iii) ΔABC ≡ ΔRPQ
(iv) none of these

(i) ΔABC ≡ ΔRPQ

Q13. Under a given correspondence, two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them of the other triangle.’The above is known as

(а) SSS congruence of two triangles
(ii) SAS congruence of two triangles
(iii) ASA congruence of two triangles
(iv) RHS congruence of two right-angled triangles

(iii) ASA congruence of two triangles

(i) ASA
(ii) SAS
(iii) SSS
(iv) AAA

(iii) SSS,

Q15. Two angles are congruent if they have

(i) Same name
(ii) unequal measures
(iii) equal measures
(iv) none of these

(iii) equal measures

Q16. If ΔDEF ≅ ΔBCA, then the part of ΔBCA that correspond to ∠E is

(i) ∠B
(ii) ∠C
(iii) ∠A
(iv) None of these

(ii) ∠C

Q17. If ∆ ABC = ∆ PQR, then ∠B corresponds to

(i) ∠P
(ii) ∠Q
(iii) ∠R
(iv) none of these

(ii) ∠Q

Q18. ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RPQ, then the part of ΔABC that correspond to PQ is

(i) AC
(ii) AB
(iii) BC
(iv) None of These

(iii) BC

Q19. Two triangles, A PQR and ADEF are of the same size and shape. What can we conclude about them?

(i) ΔPQR is smaller than ΔDFE.
(ii) ΔPQR is larger than ΔDFE.
(iii) ΔPQR is congruent to ΔDFE.
(iv) ΔPQR is not congruent to ΔDFE.

(iii) ΔPQR is congruent to ΔDFE.

Q20. We want to show that ∆ ART = ∆ PEN and we have to use SSS criterion. We have AR = PE and RT = EN. What more we need to show?

(i) AT = PN
(ii) AT = PE
(iii) AT = EN
(iv) none of these

(i) AT = PN

Q21. Two angles are congruent if they have

(i) Same name
(ii) unequal measures
(iii) equal measures
(iv) none of these

(iii) equal measures

Q22. We want to show that ∆ ART = ∆ PEN. We have to use ASA criterion. We have AT = PN, ∠A = ∠P. What more we need to show?

(i) ∠T = ∠N
(ii) ∠T = ∠E
(iii) ∠T = ∠P
(iv) None of these

(i) ∠T = ∠N

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