Class 7 Mathematics MCQ Congruence of Triangles

Question 24: In ΔABC and ΔDEF, AC = DF,AB = DE and BC=EF. By which property are ΔABC and ΔDEF congruent?

(A) R.H.S. property
(B) S.S.S. property
(C) S.A.S. property
(D) A.S.A. property

Question 25: Two triangles, A PQR and ADEF are of the same size and shape. What can we conclude about them?

(A) ΔPQR is smaller than ΔDFE.
(B) ΔPQR is larger than ΔDFE.
(C) ΔPQR is congruent to ΔDFE.
(D) ΔPQR is not congruent to ΔDFE.

Question 26: What comes next in the sequence: 2, 4, 10, 28, ___ ?

(A) 64
(B) 70
(C) 76
(D) 82

Question 27: If ∆ ABC = ∆ PQR, then $\overline { AB }$ corresponds to

(A) $\overline { PQ }$
(B) $\overline { QR }$
(C) $\overline { RP }$
(D) none of these

Question 28: If ∆ ABC = ∆ PQR, then ∠B corresponds to

(A) ∠ P
(B) ∠ Q
(C) ∠ R
(D) none of these

Question 29: If ∆ ABC= ∆ PQR, then ∠C corresponds to

(A) ∠ P
(B) ∠ Q
(C) ∠ R
(D) none of these

Question 30: 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?

(A) AT = PN
(B) AT = PE
(C) AT = EN
(D) none of these

Question 31: If ∆ ABC = ∆ PQR, then $\overline { BC }$ corresponds to

(A) $\overline { PQ }$
(B) $\overline { QR }$
(C) $\overline { RP }$
(D) none of these

Question 32: What is the angle included between the sides PN and PM of ΔMNP?

(A) ∠M
(B) ∠N
(C) ∠P
(D) None of these

Question 33: Which of the following examines the congruence of plane figures?

(A) Trial and error method
(B) Superposition method
(C) Substitution method
(D) Transposition method

Question 34: The measure of each angle of an equilateral triangle is:

(A) 50°
(B) 70°
(C) 60°
(D) 100°

Question 35: ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RQP, then the part of ΔABC that correspond to ∠P is

(A) ∠A
(B) ∠C
(C) ∠B
(D) None of these

Question 36: Two angles are congruent if they have

(A) Same name
(B) unequal measures
(C) equal measures
(D) none of these

Question 37: ‘Under a given correspondence, two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other.’
The above is known a

(A) SSS congruence of two triangles
(B) SAS congruence of two triangles
(C) ASA congruence of two triangles
(D) RHS congruence of two right-angled triangles

Question 38: ‘Under a given correspondence, two triangles are congruent if two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle.’
The above is known a

(A) SSS congruence of two triangles
(B) SAS congruence of two triangles
(C) ASA congruence of two triangles
(D) RHS congruence of two right-angled triangles

Question 44: ‘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 a

(A) SSS congruence of two triangles
(B) SAS congruence of two triangles
(C) ASA congruence of two triangles
(D) RHS congruence of two right-angled triangles

Question 45: ‘Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle.’
The above is known a

(A) SSS congruence of two triangles
(B) SAS congruence of two triangles
(C) ASA congruence of two triangles
(D) RHS congruence of two right-angled triangles