Hello guys, welcome to your own blog 'Pareeksha Time'. In this article, you will read CBSE Class 10 Maths MCQs of Chapter 6 of Class 10 Maths NCERT. You will read Triangles MCQs for Term-1 Board Exams 2021-22.
Now, Board Exams are divided into two terms; Term-1 & Term-2. In Term-1 Board Exams, only MCQ type questions will be asked.
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Triangles MCQs |MCQ Questions for Class 10 Maths Chapter 6 with Answers:-
1. If ΔABC ~ ΔDEF and ΔABC is not similar to ΔDEF then which of the following is not true?
(a) BC.EF = AC.FD
(b) AB.ED = AC.DE
(c) BC.DE = AB.EE
(d) BC.DE = AB.FD
Answer: (c) BC.DE = AB.EE
2. The lengths of the diagonals of a rhombus are 16 cm and 12cm. Then, the length of the side of the rhombus is:
(a) 9 cm
(b) 10 cm
(c) 8 cm
(d) 20 cm
Answer: (b) 10 cm
3. Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of small triangle is 48 sq.cm, then the area of large triangle is:
(a) 230 sq.cm.
(b) 106 sq.cm
(c) 107 sq.cm.
(d) 108 sq.cm
Answer: (d) 108 sq.cm
4. ΔDEF ~ ΔABC. If DE : AB = 2 : 3 and ar ΔDEF is equal to 44 square units then ar (ΔABC) (square unit) is:
(a) 99
(b) 120
(c) 100
(d) 66
Answer: (a) 99
5. The height of an equilateral triangle of side 5 cm is:
(a) 4.33 cm
(b) 3.9 cm
(c) 5 cm
(d) 4 cm
Answer: (a) 4.33 cm
6. A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
(a) 25.6
(b) 20.4
(c) 23.7
(d) 32.5
Answer: (b) 20.4
7. 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: (c) 10 cm
8. 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
9. 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
10. An unshaven and shaven pencil is congruent.
(a) False
(b) True
Answer: (a) False
11. Areas of two similar triangles are 36 cm2 and 100 cm2 If the length of a side of the larger triangle is 20 cm, then the length of the corresponding side of the smaller triangle is:
(a) 12cm
(b) 13cm
(c) 14cm
(d) 15cm
Answer: (a) 12cm
12. In ∠BAC = 90° and AD ⊥ BC. Then
(а) BD.CD = BC²
(b) AB.AC = BC²
(c) BD.CD = AD²
(d) AB.AC = AD²
Answer: (c) BD.CD = AD²
13. The perimeters of two similar triangles ABC, PQR is 64 cm and 24 cm respectively. If PQ is 12 cm what will be the length of AB?
(a) 30 cm
(b) 32 cm
(c) 12 cm
(d) 16 cm
Answer: (b) 32 cm
14. In an isosceles triangle ABC, if AB = AC = 25 cm and BC = 14 cm, then the measure of altitude from A on BC is:
(a) 20 cm
(b) 22 cm
(c) 18 cm
(d) 24 cm
Answer: (d) 24
15. It is given that ΔABC ~ ΔPQR, with `\frac{BC}{QR}` = `\frac{1}{4}` then, `\frac{ar(\triangle PRQ)}{ar(\triangle ABC)}` is equal to:
(a) 16
(b) 4
(c) 9
(d) 25
Answer: (a) 16
16. 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: (a) 9
17. If ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R then, ∆ABC & ∆PQR are similar according to which test?
(a) AAA test
(b) AA test
(c) SAS test
(d) SSS test
Answer: (a) AAA test
18. Diagonals of a trapezium PQRS intersect each other at the point O, PQ || RS and PQ = 3 RS, Then the ratio of areas of triangles POQ and ROS is:
(a) 1:9
(b) 9:1
(c) 3:1
(d) 1:3
Answer: (b) 9:1
19. ∆ABC ∼ ∆PQR, AD & PS are the angle bisectors of respectively. If AD = 1.5cm and PS = 2.3 cm then, what will be the ratio of the areas of ∆ABC and ∆PQR?
(a) 19 : 15
(b) 225 : 529
(c) 529 : 225
(d) 15 : 17
Answer: (b) 225 : 529
20. The height of an equilateral triangle of side 5cm is:
(a) 4.33
(b) 3.9
(c) 5
(d) 4
Answer: (a) 4.33
21. 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: (c) 60 m
22. If the ratio of the perimeters of two similar triangles is 4 : 25, then the ratio of the areas of the similar triangles is:
(a) 16 : 625
(b) 2 : 5
(c) 5 : 2
(d) 625 : 16
Answer: (a) 16 : 625
23. What will be the ratios of areas of similar ∆ABC and ∆PQR, if the altitudes of the triangles are 10cm and 5.5cm respectively?
(a) 150 : 4
(b) 300 : 7
(c) 100 : 3
(d) 400 : 9
Answer: (d) 400 : 9
24. O is a point on side PQ of a ∆PQR such that PO = QO = RO, then:
(a) RS² = PR × QR
(b) PR² + QR² = PQ²
(c) QR² = QO² + RO²
(d) PO² + RO² = PR²
Answer: (b) PR² + QR² = PQ²
25. What will be the distance of the foot of ladder from the building, if the ladder of 12 m high reaches the top of a building 35 m high from the ground?
(a) 32.65 m
(b) 32.87 m
(c) 31.87 m
(d) 32.85 m
Answer: (b) 32.87 m
26. A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then the distance by which the top of the ladder would slide upwards on the wall is:
(a) 2 m (b) 1.2 m
(c) 0.8 m
(d) 0.5 m
Answer: (c) 0.8 m
27. What will be the length of the square inscribed in a circle of radius 5 cm?
(a) 5√3 cm
(b) 3.45 cm
(c) 5√2 cm
(d) 2.45 cm
Answer: (c) 5√2 cm
28. In the given figure the value of x is
(a) 4 cm
(b) 5 cm
(c) 8 cm
(d) 3 cm
Answer: (c) 8 cm
So guys here comes end. In this article, I shared 25+ Triangles MCQs of CBSE Class 10 Maths MCQs 2021-22.
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