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
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 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
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 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
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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