**CBSE Class 9 Maths – MCQ and Online Tests – Unit 9 – Areas of Parallelograms and Triangles**

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**CBSE Class 9 Maths – MCQ and Online Tests – Unit 9 – Areas of Parallelograms and Triangles**

Question 1.

A, B, C and D are the mid-points of sides of parallelogram PQRS. If ar(PQRS) = 36 cm², then ar(ABCD) is

(a) 24 cm²

(b) 18 cm²

(c) 30 cm²

(d) 36 cm²

## Answer

Answer: (b) 18 cm²

Question 2.

If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is

(a) 1 : 3

(b) 1 : 2

(c) 3 : 1

(d) 1 : 4

## Answer

Answer: (b) 1 : 2

Question 3.

The median of a triangle divides it into two

(a) isosceles triangle

(b) congruent triangles

(c) right angled triangle

(d) triangles of equal areas

## Answer

Answer: (d) triangles of equal areas

Question 4.

PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(PQRS) = 48 cm², then ar(?PBS) + ar(?ASR) is equal to

(a) 96 cm²

(b) 36 cm²

(c) 48 cm²

(d) 24 cm²

## Answer

Answer: (c) 48 cm²

Question 5.

D and E are the mid-points of BC and AD respectively. If ar(?ABC) = 12 cm², then ar(?BDE) is

(a) 5 cm²

(b) 6 cm²

(c) 3 cm²

(d) 9 cm²

## Answer

Answer: (c) 3 cm²

Question 6.

ABCD is a quadrilateral whose diagonal AC divides it in two parts of equal area, then ABCD is a

(a) rectangle

(b) rhombus

(c) parallelogram

(d) need not be any of (a), (b) or (c)

## Answer

Answer: (d) need not be any of (a), (b) or (c)

Question 7.

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

(a) 1 : 2

(b) 1 : 1

(c) 2 : 1

(d) 3 : 1

## Answer

Answer: (b) 1 : 1

Question 8.

PQRS is a parallelogram. If X and Y are the mid-points of PQ and SR and diagonal SQ is joined, then ar(XQRY) : ar(?QSR) is

(a) 1 : 2

(b) 1 : 4

(c) 1 : 1

(d) 2 : 1

## Answer

Answer: (c) 1 : 1

Question 9.

In quadrilateral PQRS, M is the mid-point of PR. If ar(SMQR) = 18 cm², then ar(PQMS) is

(a) 24 cm²

(b) 12 cm²

(c) 18 cm²

(d) 36 cm²

## Answer

Answer: (c) 18 cm²

Question 10.

ABCD is a trapezium in which AB || DC. If ar(?ABD) = 24 cm² and AB = 8 cm, then height of ?ABC is

(a) 3 cm

(b) 6 cm

(c) 8 cm

(d) 4 cm

## Answer

Answer: (d) 4 cm

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