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

If you’re looking for a way to enhance your Class 10 Maths, then look no further than the NCERT MCQ Questions for Class 10 Maths Chapter 6 Triangles with Answers. The MCQ Questions for Class 10 Maths with Answers are aligned to all topics covered so it will be helpful when preparing for your exams, no matter what subject you’re studying! Don’t forget about scoring maximum points during exam preparation by using these free Class 10 Maths Chapter 6 Triangles Objective Questions.

## Triangles Class 10 MCQs Questions with Answers

What are you waiting for? Get all the answers to Class 10 Maths Chapter 6 MCQs! It’s time that students power up and start practicing these MCQ Questions of Triangles Class 10 with answers. The best way of doing so would be solving them yourself in order not only to know which answer is correct but also to understand why each solution works as well.

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

Question 2.
A square and a rhombus are always
(a) similar
(b) congruent
(c) similar but not congruent
(d) neither similar nor congruent

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.

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

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

Question 6.
Which geometric figures are always similar?​
(a) Circles
(b) Circles and all regular polygons
(c) Circles and triangles
(d) Regular

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°

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

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

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

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

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

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°

Question 14.
Triangle ABC is similar to triangle DEF and their areas are 64 cm2 and 121 cm2 respectively. If EF = 15.4 cm, then BC = ?​
(a) 11.2 cm
(b) 8 cm
(c) 11 cm
(d) 13 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: (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

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:

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: (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

Question 20.
In a rhombus if d1 = 16 cm, d2 = 12 cm, then the length of the side of the rhombus is
(a) 8 cm
(b) 9 cm
(c) 10 cm
(d) 12 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

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