# MCQ Questions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles with Answers

Students are advised to solve the Areas of Parallelograms and Triangles Multiple Choice Questions of Class 9 Maths to know different concepts. Practicing the MCQ Questions on Areas of Parallelograms and Triangles Class 9 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Areas of Parallelograms and Triangles Class 9 with answers provided with detailed solutions by looking below.

Question 1.

What is the area of a parallelogram?

(a) \(\frac { 1 }{ 2 }\) × Base × Altitude

(b) Base × Altitude

(c) \(\frac { 1 }{ 4 }\) × Base × Median

(d) Base × Base

## Answer

Answer: (b) Base × Altitude

Question 2.

AE is a median to side BC of triangle ABC. If area(ΔABC) = 24 cm, then area(ΔABE) =

(a) 8 cm

(b) 12 cm

(c) 16 cm

(d) 18 cm

## Answer

Answer: (b) 12 cm

Question 3.

In the figure, ∠PQR = 90°, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ΔPQR is

(a) 30 cm^{2}

(b) 20 cm^{2}

(c) 39 cm^{2}

(d) 60 cm^{2}

## Answer

Answer: (a) 30 cm^{2}

Question 4.

BCD is quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD

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

(a) is a rectangles

(b) is a parallelogram

(c) is a rhombus

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

## Answer

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

Question 5.

In ΔPQR, if D and E are points on PQ and PR respectively such that DE || QR, then ar (PQE) is equal to

(a) ar (PRD)

(b) ar (DQM)

(c) ar (PED)

(d) ar (DQR)

## Answer

Answer: (a) ar (PRD)

Question 6.

If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then,

(a) ar (AOD) = ar (BOC)

(b) ar (AOD) > ar (BOC)

(c) ar (AOD) < ar (BOC)

(d) None of the above

## Answer

Answer: (a) ar (AOD) = ar (BOC)

Question 7.

For two figures to be on the same base and between the same parallels, one of the lines must be.

(a) Making an acute angle to the common base

(b) The line containing the common base

(c) Perpendicular to the common base

(d) Making an obtuse angle to the common base

## Answer

Answer: (b) The line containing the common base

Question 8.

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

(a) 1 : 3

(b) 1 : 2

(c) 2 : 1

(d) 1 : 1

## Answer

Answer: (d) 1 : 1

Question 9.

If P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD, then:

(a) ar(APB) > ar(BQC)

(b) ar(APB) < ar(BQC)

(c) ar(APB) = ar(BQC)

(d) None of the above

## Answer

Answer: (c) ar(APB) = ar(BQC)

Question 10.

A triangle and a rhombus are on the same base and between the same parallels. Then the ratio of area of triangle to that rhombus is:

(a) 1 : 3

(b) 1 : 2

(c) 1 : 1

(d) 1 : 4

## Answer

Answer: (b) 1 : 2

Question 11.

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

(a) it is 1 : 1.

(b) it is 1 : 2.

(c) it is 3 : 1.

(d) it is 2 : 1.

## Answer

Answer: (a) it is 1 : 1.

Question 12.

or two figures to be on the same base and between the same parallels ,they must have a common base and.

(a) One common vertex

(b) The vertices(or the vertex) opposite to the common base lying on a line parallel to the base

(c) The vertices(or the vertex) opposite to the common base lying on a line making an acute angle to the base

(d) Two common vertices

## Answer

Answer: (b) The vertices(or the vertex) opposite to the common base lying on a line parallel to the base

Question 13.

The median of a triangle divides it into two

(a) congruent triangles.

(b) isosceles triangles.

(c) right angles.

(d) triangles of equal areas

## Answer

Answer: (d) triangles of equal areas

Question 14.

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

(a) it is 1 : 4.

(b) it is 3 : 1.

(c) it is 1 : 2.

(d) it is 1 : 4.

## Answer

Answer: (c) it is 1 : 2.

Question 15.

The area of a right triangle is 30 sq cm. If the base is 5 cm, then the hypotenuse must be

(a) 12 cm

(b) 18 cm

(c) 13 cm

(d) 20 cm

## Answer

Answer: (c) 13 cm

Question 16.

D,E,F are mid points of the sides BC, CA & AB respectively of ΔABC, then area of BDEF is equal to

(a) \(\frac { 1 }{ 2 }\)ar (ΔABC)

(b) \(\frac { 1 }{ 4 }\)ar (ΔABC)

(c) \(\frac { 1 }{ 3 }\)ar (ΔABC)

(c) \(\frac { 1 }{ 6 }\)ar (ΔABC)

## Answer

Answer: (a) \(\frac { 1 }{ 2 }\)ar (ΔABC)

Question 17.

Area of a trapezium, whose parallel sides are 9 cm and 6 cm respectively and the distance between these sides is 8 cm, is

(a) 80 cm^{2}

(b) 30 cm^{2}

(c) 120 cm^{2}

(d) 60 cm^{2}

## Answer

Answer: (d) 60 cm^{2}

Question 18.

A median of a triangle divides it into two

(a) Congruent triangles

(b) Isosceles triangles

(c) Right triangles

(d) Equal area triangles

## Answer

Answer: (d) Equal area triangles

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