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## MCQ Questions for Class 10 Maths: Ch 6 Triangles 1. 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
► (c) 4.5 cm

2. 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
► (b) 13 cm

3. 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
► (a) 6

4. In triangle MNS, A and B are points on the sides MN, NS respectively.  AN = 1/2 MN, BS= 1/2 MS. Then AB is …………………. to NS :​
(a) Not Perpendicular
(b) Parallel
(c) Perpendicular
(d) Not Parallel
► (b) Parallel

5. In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal = …
(a) 9 cm
(b) 14 cm
(c) 10 cm
(d) 12 cm
► (c) 10 cm

6. 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
► (c) 10 cm

7. 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 GE = ?
(a) 9
(b) 10
(c) 7.5
(d) 8
► (a) 9

8. 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
► (b) 8 cm

9. ΔABC ~ ΔPQR, ∠B = 50° and ∠C = 70° then ∠P is equal to​
(a) 50°
(b) 60°
(c) 40°
(d) 70°
► (b) 60°

10. 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.
► (a) BC . DE = AB .EF.

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

12. 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:
► (b) 1:1

13. 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
► (b) 3

14. In trapezium ABCD a line EF cuts the diagonal AC in O such that AO/OC = 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
► (c) 2:3

15. 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
► (a) 1 : 2

16. 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
► (a) square of the ratio of their corresponding sides.

17. If ΔABC ∼ ΔDEF and EF = 1/3BC, then ar(ΔABC):(ΔDEF) is
(a) 3 : 1.
(b) 1 : 3.
(c) 1 : 9.
(d) 9 : 1.
► (c) 1 : 9.

18. 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
► (a) 11.2 cm

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

20. 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°
► (c) 90°

21. If in triangles ABC and DEF, AB/EF = AC/DE, then they will be similar when
(a) ∠A = ∠D
(b) ∠A = ∠E
(c) ∠B = ∠E
(d) ∠C = ∠F
► (b) ∠A = ∠E

22. 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
► (c) 60 m