# MCQ Questions for Class 10 Maths Chapter 6 Triangles with Answers

Students are advised to solve the Triangles Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Triangles Class 10 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Triangles Class 10 with answers provided with detailed solutions by looking below.

Question 1.

If in triangles ABC and DEF, \(\frac { AB }{ EF }\) = \(\frac { AC }{ DE }\), then they will be similar when

(a) ∠A = ∠D

(b) ∠A = ∠E

(c) ∠B = ∠E

(d) ∠C = ∠F

## Answer

Answer: (b) ∠A = ∠E

Question 2.

A square and a rhombus are always

(a) similar

(b) congruent

(c) similar but not congruent

(d) neither similar nor congruent

## Answer

Answer: (d) neither similar nor congruent

Question 3.

If ΔABC ~ ΔDEF and EF = \(\frac { 1 }{ 3 }\)BC, then ar(ΔABC):(ΔDEF) is

(a) 3 : 1.

(b) 1 : 3.

(c) 1 : 9.

(d) 9 : 1.

## Answer

Answer: (c) 1 : 9.

Question 4.

If a triangle and a parallelogram are on the same base and between same parallels, then what is the ratio of the area of the triangle to the area of parallelogram?

(a) 1 : 2

(b) 3 : 2

(c) 1 : 3

(d) 4 : 1

## Answer

Answer: (a) 1 : 2

Question 5.

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is

(a) 2.5

(b) 3

(c) 5

(d) 6

## Answer

Answer: (b) 3

Question 6.

Which geometric figures are always similar?

(a) Circles

(b) Circles and all regular polygons

(c) Circles and triangles

(d) Regular

## Answer

Answer: (b) Circles and all regular polygons

Question 7.

ΔABC ~ ΔPQR, ∠B = 50° and ∠C = 70° then ∠P is equal to

(a) 50°

(b) 60°

(c) 40°

(d) 70°

## Answer

Answer: (b) 60°

Question 8.

In triangle DEF,GH is a line parallel to EF cutting DE in G and and DF in H. If DE = 16.5, DH = 5, HF = 6 then GE = ?

(a) 9

(b) 10

(c) 7.5

(d) 8

## Answer

Answer: (a) 9

Question 9.

In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal = …

(a) 9 cm

(b) 14 cm

(c) 10 cm

(d) 12 cm

## Answer

Answer: (c) 10 cm

Question 10.

In triangle ABC ,DE || BC AD = 3 cm, DB = 8 cm AC = 22 cm. At what distance from A does the line DE cut AC?

(a) 6

(b) 4

(c) 10

(d) 5

## Answer

Answer: (a) 6

Question 11.

In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to

(a) 7.5 cm

(b) 3 cm

(c) 4.5 cm

(d) 6 cm

## Answer

Answer: (c) 4.5 cm

Question 12.

Two poles stand on the ground at a distance of 20m and 50 m respectively from a point A on the ground, the taller pole at 30 m from smaller pole. A cable originates from the top pf the taller pole, passing on the other pole ends on a hook at point A. If the length of the cable is 100 m , how much of it lies between the the two poles?

(a) 50m

(b) 40 m

(c) 60 m

(d) 80 m

## Answer

Answer: (c) 60 m

Question 13.

In triangle ABC, if AB = 6√3 cm, AC = 12 cm and BC cm, then ∠B is

(a) 120°

(b) 60°

(c) 90°

(d) 45°

## Answer

Answer: (c) 90°

Question 14.

Triangle ABC is similar to triangle DEF and their areas are 64 cm^{2} and 121 cm^{2} respectively. If EF = 15.4 cm, then BC = ?

(a) 11.2 cm

(b) 8 cm

(c) 11 cm

(d) 13 cm

## Answer

Answer: (a) 11.2 cm

Question 15.

The ratio of the areas of two similar triangles is equal to the:

(a) square of the ratio of their corresponding sides.

(b) the ratio of their corresponding sides

(c) square of the ratio of their corresponding angles

(d) None of the above

## Answer

Answer: (a) square of the ratio of their corresponding sides.

Question 16.

In trapezium ABCD a line EF cuts the diagonal AC in O such that \(\frac { AO }{ OC }\) = \(\frac { 2 }{ 3 }\) and EF is parallel to BC.In what ratio does EF cut AB and CD?

(a) 1:2

(b) 3:4

(c) 2:3

(d) 1:4

## Answer

Answer: (c) 2:3

Question 17.

Two congruent triangles are actually similar triangles with the ratio of corresponding sides as.

(a) 1:2

(b) 1:1

(c) 1:3

(d) 2:

## Answer

Answer: (b) 1:1

Question 18.

If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true?

(a) BC . DE = AB .EF.

(b) AB . EF = AC . DE.

(c) BC . EF = AC . FD.

(d) BC . DE = AB .FD.

## Answer

Answer: (a) BC . DE = AB .EF.

Question 19.

In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :

(a) 6 cm

(b) 8 cm

(c) 7 cm

(d) 10 cm

## Answer

Answer: (b) 8 cm

Question 20.

In a rhombus if d_{1} = 16 cm, d_{2} = 12 cm, then the length of the side of the rhombus is

(a) 8 cm

(b) 9 cm

(c) 10 cm

(d) 12 cm

## Answer

Answer: (c) 10 cm

Question 21.

In triangle MNS, A and B are points on the sides MN, NS respectively. AN = \(\frac { 1 }{ 2 }\) MN, BS= \(\frac { 1 }{ 2 }\) MS. Then AB is …………………. to NS :

(a) Not Perpendicular

(b) Parallel

(c) Perpendicular

(d) Not Parallel

## Answer

Answer: (b) Parallel

Question 22.

The length of each side of a rhombus whose diagonals are of lengths 10 cm and 24 cm is

(a) 25 cm

(b) 13 cm

(c) 26 cm

(d) 34 cm

## Answer

Answer: (b) 13 cm

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