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

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

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

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

Answer: RHS congruence of two right-angled triangles

## Q5.The symbol for congruence is

(1) ≡

(2) ≅

(3) ↔

(4) =

## Answer

Answer: ≅

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

(1) PQ¯¯¯¯¯¯¯¯

(2) QR¯¯¯¯¯¯¯¯

(3) RP¯¯¯¯¯¯¯¯

(4) none of these

## Answer

Answer: PQ¯¯¯¯¯¯¯¯

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

(1) PQ¯¯¯¯¯¯¯¯

(2) QR¯¯¯¯¯¯¯¯

(3) RP¯¯¯¯¯¯¯¯

(4) none of these

## Answer

Answer: QR¯¯¯¯¯¯¯¯

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

(1) PQ¯¯¯¯¯¯¯¯

(2) QR¯¯¯¯¯¯¯¯

(3) RP¯¯¯¯¯¯¯¯

(4) none of these

## Answer

Answer: RP¯¯¯¯¯¯¯¯

## 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

## Answer

Answer: PN = AT

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

(1) Isosceles

(2) Equilateral

(3) Scalene

(4) None of these

## Answer

Answer: Equilateral

## 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

## Answer

Answer: ΔABC ≅ ΔPQR

## Q12.If the vertical angle of an isosceles triangle is 40°, then measure of other two angles will be

(1) 60°, 60°

(2) 80°, 80°

(3) 70°, 70°

(4) 45°, 45°

## Answer

Answer: 70°, 70°

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

(1) ∠P

(2) ∠Q

(3) ∠R

(4) none of these

## Answer

Answer: ∠P

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

(1) AC

(2) BC

(3) AB

(4) None of these

## Answer

Answer: AB

## Q15.What comes next in the sequence 2, 4, 10, 28, …………..?

(1)64

(2)70

(3)76

(4)82

## Answer

Answer: 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

## Answer

Answer: ∠P

## 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

## Answer

Answer: Superposition method

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

(1) 40°

(2) 60°

(3) 50°

(4) None of these

## Answer

Answer: 50°

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

(1) ∠P

(2) ∠Q

(3) ∠R

(4) none of these

## Answer

Answer: ∠R

## 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

## Answer

Answer: PN = AT

## 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

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

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

## Answer

Answer: ∠E

## Q24.Number of elements of a triangle is

(1)2

(2)3

(3)4

(4)6

## Answer

Answer: 6

## Q25.The symbol for correspondence is

(1) =

(2) ↔

(3) ≡

(4) ≅

## Answer

Answer: ↔

## Q26.Write of the parts of △MNO that corresponds to ∠y?

(1) ∠X

(2) ∠Z

(3) ∠N

(4) ∠O

## Answer

Answer: ∠N

## 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

## Answer

Answer: S.S.S. 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

## Answer

Answer: shape and size

## 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

Answer: ∠B = ∠C = 45°

## Q30.For two given triangles ABC and PQR, how many matchings are possible?

(1)2

(2)4

(3)6

(4)3

## Answer

Answer: 6

## Q31.Write the parts of △MNO that corresponds to ∠O?

(1) ∠N

(2) ∠M

(3) ∠Z

(4) ∠X

## Answer

Answer: ∠Z

## Q32.If the vertical angle of a isosceles triangle is 40°, then measure of other two angles will be

(1) 60°, 60°

(2) 80°, 80°

(3) 70°, 70°

(4) 45°, 45°

## Answer

Answer: 70°, 70°

## 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

## Answer

Answer: ΔABC ≡ ΔRPQ

## Q34.Two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other

(1) ASA

(2) SAS

(3) SSS

(4) AAA

## Answer

Answer: SSS,

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

(1) ∠B

(2) ∠C

(3) ∠A

(4) None of these

## Answer

Answer: ∠C

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

(1) ∠P

(2) ∠Q

(3) ∠R

(4) none of these

## Answer

Answer: ∠Q

## 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

## Answer

Answer: BC

## 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

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

## Answer

Answer: AT = PN

## Q40.Two angles are congruent if they have

(1) Same name

(2) unequal measures

(3) equal measures

(4) none of these

## Answer

Answer: equal measures

## Q41.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?

(1) ∠T = ∠N

(2) ∠T = ∠E

(3) ∠T = ∠P

(4) None of these

## Answer

Answer: ∠T = ∠N