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) 24cm^{2}.

(b) 48m^{2}.

(c) 28m^{2}.

(d) 96m^{2}.

► (b) 48m^{2}.

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) 18cm^{2}.

(b) 16cm^{2}.

(c) 24cm^{2}.

(d) 32cm^{2}.

► (b) 16cm^{2}.

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 24cm^{2}

(b) a trapezium of area 14cm^{2}

(c) a square of areacm^{2}

(d) a rhombus of area 24cm^{2}

► (d) a rhombus of area 24cm^{2}

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 cm^{2}

(b) 40 cm^{2}

(c) 192 cm^{2}

(d) 384 cm^{2}

► (c) 192 cm^{2}

13. PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(║;PQRS) = 48cm^{2}, then ar(△PBS) +ar(△ASR) is equal to

(a) 24cm^{2}.

(b) 36cm^{2}.

(c) 96cm^{2}.

(d) 48cm^{2}.

► (d) 48cm^{2}.

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.