**MCQs Questions for Class 10 Maths Chapter 6 Triangles**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a very important role to prepare for a competitive examination. CBSE board also gives a number of MCQs questions in board examinations. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find **19** **MCQs questions for class 10 maths chapter 6 triangles**.

**MCQs Questions
for Class 10 Maths Chapter 6 Triangles**

**1.** If O is a point on side PQ of a APQR such that
PO = QO = RO, then

(A) RS² = PR × QR

(B) PR² + QR² = PQ²

(C) QR² = QO² + RO²

(D) PO² + RO² = PR²

**Answer: B**

**2. **D and E are
respectively the midpoints on the sides AB and AC of a triangle ABC and BC = 6
cm. If DE || BC, then the length of DE (in cm) is

(A) 2.5

(B) 3

(C)
5

(D) 6

**Answer: B**

**3.** In Î”ABC, if DE
|| BC, AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then value of x is

(A) 3

(B) 4

(C) 5

(D) 3.5

**Answer: B**

**4.** 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: C**

**5.** The perimeters
of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ =
9 cm, then AB equals

(A) 6 cm

(B) 10 cm

(C) 15 cm

(D) 24 cm

**Answer: C**

**6. **In triangle PQR, if PQ
= 6 cm, PR = 8 cm, QS = 3 cm, and PS is the bisector of angle QPR, what is the
length of SR?

(A)
2

(B) 4

(C)
6

(D) 8

**Answer: B**

**7.** In a rectangle,
length = 8 cm and breadth = 6 cm. Then its diagonal = …

(A) 9 cm

(B) 14 cm

(C) 10 cm

(D) 12 cm

**Answer: C**

**8.** If Î”ABC is
similar to Î”DEF such that 2 AB = DE and BC = 8 cm, then EF is equal to.

(A) 12 cm

(B) 4 cm

(C) 16 cm

(D) 8 cm

**Answer: C**

**9.** The lengths of the diagonals of a rhombus are 16
cm and 12 cm. 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.** Î”ABC ~ Î”DEF.
If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, then the perimeter of
Î”DEF is

(A) 10 cm

(B) 14 cm

(C) 30 cm

(D) 25 cm

**Answer: C**

**11. **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**

**12.** 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:** **B**

**13.** Î”ABC and Î”BDE
are two equilateral triangles such that D is the midpoint of BC. Ratio of the
areas of triangle Î”ABC and Î”BDE is

(A) 2 : 1

(B) 1 : 2

(C) 4 : 1

(D) 1 : 4

**Answer:** **C**

**14.** ABCD is a trapezium in which AB || DC and P, Q
are points on AD and BC respectively such that PQ || DC. If PD = 18 cm, BQ = 35
cm and QC = 15 cm, find AD.

(A) 55
cm

(B) 57 cm

(C) 60
cm

(D) 62 cm

**Answer: C**

**15.** If Î”ABC ~ Î”DEF
and Î”ABC is not similar to Î”DEF, 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**

**16.** 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**

**17.** If ABCD is a parallelogram, P is a point on side
BC and DP when produced meets AB produced at L, then select the correct option.

(A) DP/BL = DC/PL

(B) DP/PL = DC/BL

(C) DP/PL = BL/DC

(D) DP/PL = AB/DC

**Answer: B**

**18. **In Î”LMN, ∠L = 50° and ∠N = 60°. If Î”LMN ~ Î”PQR, then find ∠Q.

(A) 50°

(B) 70°

(C) 60°

(D) 40

**Answer: B**

**19.** The length of altitude of an equilateral
triangle of side 8 cm is

(A) √3 cm

(B) 2√3 cm

(C) 3√3
cm

(D) 4√3 cm

**Answer: D**