Class 10 Quiz Level 2 (Moderate) – Triangles

Total questions: 20

In a ΔABC, AD is the bisector of ∠A. If AB = 6.4cm, AC = 8cm and BD = 5.6cm, find DC.

Topic: Angle Bisector Theorem

Deselect Answer

7 cm

10 cm

12 cm

15 cm

None

ABCD is a trapezium in which AB ∣∣ DC and its diagonals intersect each other at the point O. So, $ \displaystyle \dfrac{{\text{AO}}}{{\text{BO}}}$ will be equal to:

Topic: Properties of Trapezium

Deselect Answer

$ \displaystyle \dfrac{{\text{CO}}}{{\text{DO}}}$

$ \displaystyle \dfrac{{\text{DO}}}{{\text{CO}}}$

$ \displaystyle \dfrac{{\text{AB}}}{{\text{DC}}}$

$ \displaystyle \dfrac{{\text{BC}}}{{\text{AD}}}$

None

A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.

Topic: Application of Pythagoras Theorem

Deselect Answer

8 m

4 m

6 m

2 m

None

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m. What is the distance between their tops?

Topic: Distance Between Two Points

Deselect Answer

13 m

16 m

21 m

32 m

None

S and T are points on sides PR and QR of △ PQR such that ∠P = ∠RTS. △ RPQ ∼ △ RTS can be proved using:

Topic: Similar Triangles

Deselect Answer

AA criterion

SAS criterion

AAA criterion

ASA criterion

None

In △ ABC, AB = $ \displaystyle \text{6}\sqrt{3}\text{ cm}$, AC = 12cm and BC = 6cm. The value of ∠B is:

Topic: Application of the Law of Cosines

Deselect Answer

120°

60°

90°

45°

None

D and E are points on the sides AB and AC respectively of a ΔABC. Determine the relation between DE and BC if AD = 7.2cm, AE = 6.4cm, DB = 12cm and EC = 10cm?

Topic: Basic Proportionality Theorem

Deselect Answer

Parallel

Not parallel

Intersecting

Perpendicular

None

The line segment which joins the midpoints of the oblique sides of a trapezium is parallel to the parallel sides. Is it true or not?

Topic: Midpoint Theorem

Deselect Answer

True

False

Cannot be determined

Incomplete information

None

In a ΔABC, AD is the bisector of ∠A. If AB = 5.6cm, AC = 4cm and DC = 3cm, What is the value of BC.

Topic: Angle Bisector Theorem

Deselect Answer

4.1 cm

2.3 cm

5.7 cm

7.2 cm

None

10.

D and E are points on the sides AB and AC respectively of a ΔABC such that DE∣∣BC. What is the value of x, when AD = xcm , DB = (x − 2)cm, AE = (x + 2)cm and EC = (x − 1)cm.

Topic: Basic Proportionality Theorem

Deselect Answer

4 cm

8 cm

10 cm

15 cm

None

11.

The areas of two similar triangles are 100$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 64$ \displaystyle \text{c}{{\text{m}}^{2}}$ respectively. If a median of the smaller triangle is 5.6cm, What is the value of corresponding median of the other?

Topic: Areas of Similar Triangles

Deselect Answer

2 cm

6 cm

10 cm

7 cm

None

12.

The areas of two similar triangles are 81$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 49$ \displaystyle \text{c}{{\text{m}}^{2}}$ respectively. If the altitude of the first triangle is 6.3 cm, What is the corresponding altitude of the other?

Topic: Areas of Similar Triangles

Deselect Answer

2.2 cm

4.9 cm

5.7 cm

8.3 cm

None

13.

A 13-m-long ladder reaches a window of a building 12 m above the ground. Determine the distance of the foot of the ladder from the building.

Topic: Pythagoras Theorem

Deselect Answer

5 m

10 m

15 m

20 m

None

14.

ΔABC ∼ ΔDEF and their areas are respectively 64$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 121$ \displaystyle \text{c}{{\text{m}}^{2}}$. If EF = 15.4cm, What is the value of BC?

Topic: Areas of Similar Triangles

Deselect Answer

9.4 cm

10.6 cm

11.2 cm

12.3 cm

None

15.

Which of the following theorem states that if a segment is formed by connecting the midpoints of two of the sides of a triangle, then that segment must be parallel to the third side?

Topic: Midpoint Theorem

Deselect Answer

Midpoint Theorem

Basic Proportionality Theorem

Pythagoras Theorem

Areas of similar triangles Theorem

None

16.

If a line divides any two sides of a triangle in the same ratio. Then, the line must be parallel to the third side. Which theorem's statement is this?

Topic: Basic Proportionality Theorem

Deselect Answer

Isosceles theorem

Greens theorem

Pythagoras theorem

Thales theorem

None

17.

ΔABC is an isosceles triangle with AB = AC = 13cm. The length of altitude from A on BC is 5cm. What is the value of BC?

Topic: Isosceles Triangle Properties

Deselect Answer

16 cm

20 cm

24 cm

30 cm

None

18.

In a right angled triangle, the square on the hypotenuse is equal to the sum of squares on the other two sides. Which theorem's statement is this?

Topic: Pythagoras Theorem

Deselect Answer

Remainder theorem

Pythagoras theorem

Greens theorem

Isosceles triangle theorem

None

19.

In a triangle ABC, if D, E, and F are the midpoints of sides BC, AC and AB respectively. Then, which of the following is not true.

Topic: Midpoint Theorem

Deselect Answer

△AFE ∼ △ABC

△BFD ∼ △ABC

ΔDEF ∼ △ABC

None of these

None

20.

Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Topic: Distance Between Two Points

Deselect Answer

9 m

11 m

13 m

15 m

None

1 out of 20

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Class 10 Quiz Level 2 (Moderate) – Triangles

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