Triangles Class 10 Maths MCQs

Triangles is an essential geometry chapter that is often complicated for some students. Here we have a set of Chapter 6 Triangles MCQs framed to help students comprehend important concepts and acquire the practical proficiency to crack problems. It is essential for students to comprehend these concepts as they create the foundation of geometry.Expertise comes when we put it into practice. Solving Chapter 6 Triangles MCQs thoroughly before the exam will make you well-acquainted with the different question. To ace the Maths exam all you need is a study plan that combines enough time for practicing MCQs and self-assessment. The only option for achieving success is good preparation.

Maths Class 10 Chapter 6 Triangles MCQs

1. 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

2. If ΔABC is similar to ΔDEF 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

3. In ΔABC, AB = 6 cm and DE || BC such that AE = 1/4 AC then the length of AD is
A. 2 cm
B. 1.2 cm
C. 1.5 cm
D. 4 cm

Answer: C

4. ΔABC ~ ΔDEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, then the perimeter of ΔDEF is
A. 10 cm
B. 14 cm
C. 30 cm
D. 25 cm

Answer: C

5. 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. 176/9
D. 66

Answer: A

6. ΔABC and ΔBDE are two equilateral triangles such that D is the midpoint of BC. Ratio of the areas of triangle ΔABC and ΔBDE is.
A. 2 : 1
B. 1 : 2
C. 4 : 1
D. 1 : 4

Answer: C

7. 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

8. In ΔLMN, ∠L = 50° and ∠N = 60°, If ΔLMN ~ ΔPQR, then find ∠Q
A. 50°
B. 70°
C. 60°
D. 40°

Answer: B

9. 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. 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

11. 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

12. ABCD is a trapezium in which AB|| DC and P, Q are points on ADand BC respectively such that PQ || DC. If PD = 18 cm, BQ = 35 cm andQC = 15 cm, find AD.
A. 55cm
B. 57cm
C. 60cm
D. 62cm

Answer: C

13. 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

14. If ABCD is 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

15. If ΔABC ~ ΔDEF, AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, find the perimeter of ABC.
A. 18 cm
B. 20 cm
C. 21 cm
D. 22 cm

Answer: A

16. 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

17. Corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm², then the area of the larger triangle is:
A. 108 m²
B. 107 m²
C. 106 m²
D. 230 m²

Answer: A