## MCQ Questions for Class 9 Maths: Ch 9 Areas of Parallelogram and Triangles

1. 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

► (c) ar(APB) = ar(BQC)

2. A median of a triangle divides it into two

(a) Congruent triangles

(b) Isosceles triangles

(c) Right triangles

(d) Equal area triangles

► (d) Equal area triangles

3. 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

4. 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

(b) 30 cm

(c) 120 cm

(d) 60 cm

► (d) 60 cm

5. 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

► (b) The line containing the common base

6. D,E,F are mid points of the sides BC, CA & AB respectively of Î”ABC, then area of BDEF is equal to

(a) 1/2ar (Î”ABC)

(b) 1/4ar (Î”ABC)

(c) 1/3ar (Î”ABC)

(c) 1/6ar (Î”ABC)

► (a) 1/2ar (Î”ABC)

7. 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

► (a) ar (AOD) = ar (BOC)

8. 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

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

(a) 80 cm

^{2}(b) 30 cm

^{2}(c) 120 cm

^{2}(d) 60 cm

^{2}► (d) 60 cm

^{2}5. 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

► (b) The line containing the common base

6. D,E,F are mid points of the sides BC, CA & AB respectively of Î”ABC, then area of BDEF is equal to

(a) 1/2ar (Î”ABC)

(b) 1/4ar (Î”ABC)

(c) 1/3ar (Î”ABC)

(c) 1/6ar (Î”ABC)

► (a) 1/2ar (Î”ABC)

7. 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

► (a) ar (AOD) = ar (BOC)

8. 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

9. In Î”PQR, 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)

► (a) ar (PRD)

10. 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.

► (c) it is 1 : 2.

11. ABCD 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).

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

12. 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

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

(a) 30 cm

^{2}
(b) 20 cm

^{2}
(c) 39 cm

^{2}
(d) 60 cm

^{2}
► (a) 30 cm

^{2}
14. For 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

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

15. AE is a median to side BC of triangle ABC. If area(Î”ABC) = 24 cm, then area(Î”ABE) =

(a) 8 cm

(b) 12 cm

(c) 16 cm

(d) 18 cm

► (b) 12 cm

16. 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.

► (a) it is 1 : 1.

17. What is the area of a parallelogram?

(a) ½ × Base × Altitude

(b) Base × Altitude

(c) ¼ × Base × Median

(d) Base × Base

► (b) Base × Altitude

18. 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

► (b) 1 : 2

(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

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

15. AE is a median to side BC of triangle ABC. If area(Î”ABC) = 24 cm, then area(Î”ABE) =

(a) 8 cm

(b) 12 cm

(c) 16 cm

(d) 18 cm

► (b) 12 cm

16. 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.

► (a) it is 1 : 1.

17. What is the area of a parallelogram?

(a) ½ × Base × Altitude

(b) Base × Altitude

(c) ¼ × Base × Median

(d) Base × Base

► (b) Base × Altitude

18. 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

► (b) 1 : 2