# MCQ Questions for Class 9 Maths Chapter 9 Areas of Parallelogram and Triangles with answers

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Below you will find MCQ Questions of Chapter 9 Areas of Parallelograms and Triangles Class 9 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 9 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

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

1. The median of a triangle divides it into two

(a) triangles of equal area

(b) right angles.

(c) congruent triangles.

(d) isosceles triangles.

► (a) triangles of equal area

2. Parallelogram ABCD and rectangle ABEF are on the same base AB. If AB = 14 cm, BC = 12 cm, then the possible value for the perimeter of ABEF is

(a) 52

(b) 64

(c) 48

(d) 59

► (a) 52

3. 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

► (c) 13 cm

4. The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is

(a) 24cm2.

(b) 48m2.

(c) 28m2.

(d) 96m2.

► (b) 48m2.

5. 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) 1 : 4.

(b) 3 : 1.

(c) 1 : 2.

(d) 1 : 4.

► (c) 1 : 2.

6. ABCD is a square. P and Q are mid-point of AB and DC respectively. If AB = 8 cm, then ar(ΔBPD) is (a) 18cm2.

(b) 16cm2.

(c) 24cm2.

(d) 32cm2.

► (b) 16cm2.

7. ABCD is a quadrilateral P,Q,R and S are the mid-points of AB, BC, CD and DA respectively, then PQRS is a

(a) Square

(b) Parallelogram

(c) Trapezium

(d) Kite

► (b) Parallelogram

8. The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is

(a) a rectangle of area 24cm2

(b) a trapezium of area 14cm2

(c) a square of areacm2

(d) a rhombus of area 24cm2

► (d) a rhombus of area 24cm2

9. A median of a triangle divides it into two triangles of

(a) Unequal area

(b) Each one-fourth of the area of the given triangle.

(c) Equal sides

(d) Equal area

► (d) Equal area

10. ABCD is a parallelogram, Area(DAB) =

(a) 3/4 [Ar (||gmABCD)]

(b) 1/4 [Ar (||gmABCD)]

(c) 2A(||gmABCD)

(d) 1/2 [Ar (||gmABCD)]

► (d) 1/2 [Ar (||gmABCD)]

11. 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

► (d) 1 : 1

12. The area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm, is​

(a) 150 cm2

(b) 40 cm2

(c) 192 cm2

(d) 384 cm2

► (c) 192 cm2

13. PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(║;PQRS) = 48cm2, then ar(△PBS) +ar(△ASR) is equal to (a) 24cm2.

(b) 36cm2.

(c) 96cm2.

(d) 48cm2.

► (d) 48cm2.

14. Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. If area (ΔAOD) = 37sq cm, then area (ΔBOC) =

(a) 74 sq cm

(b) 37 sq cm

(c) 55.5 sq cm

(d) 5.5 sq cm

► (b) 37 sq cm

15. In a parallelogram ABCD, P is a point in interior of parallelogram ABCD. If ar (||gm ABCD) = 18 cm2 then [arΔAPD) + ar(ΔCPB)] is :​

(a) 15 cm2

(b) 9 cm2

(c) 18 cm2

(d) 12 cm2

► (b) 9 cm2

16. The altitude of a parallelogram is twice the length of the base and its area is 1250cm2. The lengths of the base and the altitude respectively are :

(a) 25 cm, 50 cm

(b) 15 cm, 30 cm

(c) 20 cm, 40 cm

(d) 35 cm, 70 cm

► (a) 25 cm, 50 cm

17. The median of a triangle divides it into two

(a) Congruent triangles.

(b) Isosceles triangles.

(c) Right angles.

(d) Triangles of equal areas.

► (d) Triangles of equal areas.

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

(a) is a rectangles

(b) is a rhombus

(c) is a parallelogram

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

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

19. What is the area of a parallelogram?

(a) ½ × Base × Altitude

(b) Base × Altitude

(c) ¼ × Base × Median

(d) Base × Base

► (b) Base × Altitude

20. If each diagonal of a quadrilateral separates it into two triangles of equal area, then the quadrilateral is a

(a) Square

(b) Parallelogram

(c) Rhombus

(d) Trapezium

► (b) Parallelogram

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

(a) 1/2ar (ΔABC)

(b) 1/4ar (ΔABC)

(c) 1/3ar (ΔABC)

(d) 1/6ar (ΔABC)

► (a) 1/2ar (ΔABC)

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

(a) 1 : 2.

(b) 3 : 1.

(c) 2 : 1.

(d) 1 : 1.

► (d) 1 : 1.

Hope the given MCQ Questions will help you in cracking exams with good marks. These Areas of Parallelograms and Triangles MCQ Questions will help you in practising more and more questions in less time.