# Congruence of Triangles | Class 7 MCQ Questions with Answers Maths Chapter 7

NCERT MCQ Questions for Class 7 Maths Congruence of Triangles with Answers PDF Free Download based on the major ideas and themes presented in the textbook as per the CBSE new test pattern are available here. This will help you learn and test your understanding of the chapters. Students can also take a free test of Class 7 Maths Multiple Choice Questions. Each question has four possibilities, each of which is followed by the correct response. These MCQ Questions were chosen in accordance with the most recent CBSE exam format.

## Q1.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. This is known as

(1) SSS congruence of two triangles
(2) SAS congruence of two triangles
(3) ASA congruence of two triangles
(4) RHS congruence of two right-angled triangles

Answer: SSS congruence of two triangles

## Q2.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.This is known as

(1) SSS congruence of two triangles
(2) SAS congruence of two triangles
(3) ASA congruence of two triangles
(4) RHS congruence of two right-angled triangles

Answer: SAS congruence of two triangles

## Q3.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.This is known as

(1)(а) SSS congruence of two triangles
(2) SAS congruence of two triangles
(3) ASA congruence of two triangles
(4) RHS congruence of two right-angled triangles

Answer: ASA congruence of two triangles

## Q4.Under a given correspondence, two rightangled 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.This is known as

(1)(а) SSS congruence of two triangles
(2) SAS congruence of two triangles
(3) ASA congruence of two triangles
(4) RHS congruence of two right-angled triangles

Answer: RHS congruence of two right-angled triangles

(1) ≡
(2) ≅
(3) ↔
(4) =

## Q6.If ∆ ABC = ∆ PQR, then AB¯¯¯¯¯¯¯¯ corresponds to

(1) PQ¯¯¯¯¯¯¯¯
(2) QR¯¯¯¯¯¯¯¯
(3) RP¯¯¯¯¯¯¯¯
(4) none of these

## Q7.If ∆ ABC = ∆ PQR, then BC¯¯¯¯¯¯¯¯ corresponds to

(1) PQ¯¯¯¯¯¯¯¯
(2) QR¯¯¯¯¯¯¯¯
(3) RP¯¯¯¯¯¯¯¯
(4) none of these

## Q8.If ∆ ABC = ∆ PQR, then CA¯¯¯¯¯¯¯¯ corresponds to

(1) PQ¯¯¯¯¯¯¯¯
(2) QR¯¯¯¯¯¯¯¯
(3) RP¯¯¯¯¯¯¯¯
(4) none of these

## Q9.We want to show that ∆ ART = ∆ PEN. We have to use SAS criterion. We have ∠T = ∠N, RT = EN. What more we need to show?

(1) PN = AT
(2) PN = AR
(3) PN = RT
(4) None of these

## Q10.A triangle in which all three sides are of equal lengths is called .

(1) Isosceles
(2) Equilateral
(3) Scalene
(4) None of these

## Q11.In ΔABC and ΔPQR, AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm. QR = 5 cm. PR = 6 cm. then which of the following is true?

(1) ΔABC ≅ ΔQRP
(2) ΔABC ≅ ΔPQR
(3) ΔABC ≅ ΔRQP
(4) None of these

(1) 60°, 60°
(2) 80°, 80°
(3) 70°, 70°
(4) 45°, 45°

## Q13.If ∆ ABC = ∆ PQR, then ∠A corresponds to

(1) ∠P
(2) ∠Q
(3) ∠R
(4) none of these

## Q14.What is the side included between the angles A and B in ΔABC?

(1) AC
(2) BC
(3) AB
(4) None of these

(1)64
(2)70
(3)76
(4)82

## Q16.What is the angle included between the sides PN and PM of ΔMNP?

(1) ∠M
(2) ∠N
(3) ∠P
(4) None of these

## Q17.Which of the following examines the congruence of plane figures?

(1) Trial and error method
(2) Superposition method
(3) Substitution method
(4) Transposition method

## Q18.An angle is of 50° then its congruent angle is of

(1) 40°
(2) 60°
(3) 50°
(4) None of these

## Q19.If ∆ ABC= ∆ PQR, then ∠C corresponds to

(1) ∠P
(2) ∠Q
(3) ∠R
(4) none of these

## Q20.We want to show that ∆ ART = ∆ PEN. We have to use SAS criterion. We have ∠ T = ∠ N, RT = EN. What more we need to show?

(1) PN = AT
(2) PN = AR
(3) PN = RT
(4) None of these

## Q21.Two students drew a line segment each. What is the condition for them to be congruent?

(1) They should be drawn with a scale
(2) They should be drawn on the same sheet of paper
(3) They should have different lengths
(4) They should have the same length

Answer: They should have the same length

## Q22.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

(1)(а) SSS congruence of two triangles
(2) SAS congruence of two triangles
(3) ASA congruence of two triangles
(4) RHS congruence of two right-angled triangles

Answer: ASA congruence of two triangles

## Q23.Which angle is included between the sides DE and EF of △DEF?

(1) ∠F
(2) ∠D
(3) ∠E
(4) None of these

(1)2
(2)3
(3)4
(4)6

(1) =
(2) ↔
(3) ≡
(4) ≅

(1) ∠X
(2) ∠Z
(3) ∠N
(4) ∠O

## Q27.In ΔABC and ΔDEF, AC = DF,AB = DE and BC=EF. By which property are ΔABC and ΔDEF congruent?

(1) R.H.S. property
(2) S.S.S. property
(3) S.A.S. property
(4) A.S.A. property

## Q28.Two figures are said to be congruent, if they have exactly the same

(1) length and width
(2) shape and size
(3) area
(4) perimeter

## Q29.ΔABC is right triangle in which ∠A = 90° and AB = AC. The values of ∠B and ∠C will be

(1) ∠B = ∠C = 30°
(2) ∠B = ∠C = 50°
(3) ∠B = ∠C = 45°
(4) ∠B = ∠C = 60°

Answer: ∠B = ∠C = 45°

(1)2
(2)4
(3)6
(4)3

(1) ∠N
(2) ∠M
(3) ∠Z
(4) ∠X

(1) 60°, 60°
(2) 80°, 80°
(3) 70°, 70°
(4) 45°, 45°

## Q33.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

(1) ΔABC ≡ ΔRPQ
(2) ΔABC ≡ ΔPQR
(3) ΔABC ≡ ΔRPQ
(4) none of these

(1) ASA
(2) SAS
(3) SSS
(4) AAA

## Q35.If ΔDEF ≅ ΔBCA, then the part of ΔBCA that correspond to ∠E is

(1) ∠B
(2) ∠C
(3) ∠A
(4) None of these

## Q36.If ∆ ABC = ∆ PQR, then ∠B corresponds to

(1) ∠P
(2) ∠Q
(3) ∠R
(4) none of these

## Q37.ΔABC and ΔPQR are congruent under the correspondence ABC ↔ RPQ, then the part of ΔABC that correspond to PQ is

(1) AC
(2) AB
(3) BC
(4) None of These

## Q38.Two triangles, A PQR and ADEF are of the same size and shape. What can we conclude about them?

(1) ΔPQR is smaller than ΔDFE.
(2) ΔPQR is larger than ΔDFE.
(3) ΔPQR is congruent to ΔDFE.
(4) ΔPQR is not congruent to ΔDFE.

Answer: ΔPQR is congruent to ΔDFE.

## Q39.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?

(1) AT = PN
(2) AT = PE
(3) AT = EN
(4) none of these

## Q40.Two angles are congruent if they have

(1) Same name
(2) unequal measures
(3) equal measures
(4) none of these