Class 10 Practice – Level 3 – Set 2 – Triangles

Total questions: 15

D is a point on side QR of △PQR such that PD ⊥ QR. Will it be correct to say that △PQD ∼ △RPD ?

Topic: Criteria for Similarity Triangles

Yes

Cannot be predicted

Incomplete information

None

What is the value of x for which DE∥AB in the given figure?

Basic Proportionality Theorem

None

In the given figure, if ∠1 = ∠2 and △NSQ ≅ △MTR, Then which of the following criterion can prove that △PTS ∼ △PRQ?

Topic: Criteria for Similarity Triangles

AA criterion

AAA criterion

ASA criterion

SAS criterion

None

Diagonals of a trapezium PQRS intersect each other at the point O,PQ∥RS and PQ=3RS. What is the ratio of the areas of △POQ and △ROS?

Topic: Areas of Similar Triangles

6 : 2

9 : 1

8 : 3

7 : 4

None

In the given figure, if AB∥DC and AC, PQ intersect each other at the point O. Then, OA⋅CQ will be equal to:

Topic: Intersecting Chords Theorem

OC⋅AP

OC⋅OA

OP⋅OQ

OC⋅AB

None

In the given figure, if DE∥BC, then what is the ratio of ar ( △ADE) and ar (DECB)?

Topic: Properties of Triangles

7 : 9

5 : 7

3 : 2

1 : 3

None

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.

Topic: Basic Proportionality Theorem

20 cm

40 cm

60 cm

90 cm

None

In a △PQR,N is a point on PR, such that QN ⊥ PR. If PN ⋅ NR = $ \displaystyle {\text{Q}{{\text{N}}^{2}}}$. Find the value of ∠PQR.

Topic: Right-Angled Triangles

180°

90°

60°

30°

None

A 15 high tower casts a shadow 24 long at a certain time and at the same time, a telephone pole casts a shadow 16 long. What is the height of the telephone pole?

Topic: Properties of Trapezium

10 m

20 m

30 m

40 m

None

10.

Foot of a 10 m long ladder leaning against a vertical wall is 6 m away from the base of the wall. What is the height of the point on the wall where the top of the ladder reaches?

Topic: Pythagoras Theorem

12 m

8 m

10 m

6 m

None

11.

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 what is the distance by which the top of the ladder would slide upwards on the wall?

Topic: Pythagoras Theorem

0.3 m

0.5 m

0.8 m

1.0 m

None

12.

For going to a city B from city A there is a route via city C such that AC⊥CB, AC = 2x km and CB = 2(x + 7)km. It is proposed to construct a 26 km highway which directly connects the two cities A and B. Then how much distance will be saved in reaching city B from city A after the construction of the highway?

Topic: Pythagoras Theorem

10 km

8 km

16 km

30 km

None

13.

A street light bulb is fixed on a pole 6 m above the level of the street. If a woman of height 1.5 m casts a shadow of 3 m, then how far she is away from the base of the pole?

Topic: Similar Triangles

5 m

7 m

9 m

11 m

None

14.

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:

Topic: Basic Proportionality Theorem

2.5

None

15.

Legs (sides other than the hypotenuse) of a right triangle are of lengths 16 cm and 8 cm. What is the length of the side of the largest square that can be inscribed in the triangle?

Topic: Right-Angled Triangles

$ \displaystyle \dfrac{{\text{14}}}{2}$ cm

$ \displaystyle \dfrac{{\text{16}}}{3}$ cm

$ \displaystyle \dfrac{{\text{10}}}{5}$ cm

$ \displaystyle \dfrac{{\text{18}}}{4}$ cm

None

1 out of 15

Time's up

Class 10 Practice – Level 3 – Set 2 – Triangles

Welcome back