Chapter 9 Areas of Parallelograms and Triangles- MCQ Online Test 1 Class 9 Maths

1. 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) 48cm²
(b) 40cm²
(c) 45cm²
(d) 37cm²

2. In the given figure ABCD is a parallelogram and its area is 64cm². If P is any point in the interior of ║ABCD, then ar (△APD) +ar(△PBC) is equal to

(a) 38cm²
(b) 40cm²
(c) 32cm2
(d) 50cm²

3. ABCD is a parallelogram. O is any point on diagonal BD. If ar(△DOP) = 8cm², ar(△BOS) = 3cm² and ar(△APS) = 6cm²,then ar(║ABCD) is

(a) 40cm²
(b) 36cm²
(c) 46cm²
(d) 42cm²

4. ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If ar(△ABC)=16cm², then ar(△DEF) is

(a) 6cm²
(b) 5cm²
(c) 4cm²
(d) 2cm²

5. The median of a triangle divides it into two
(a) isosceles triangles
(b) triangles of different areas.
(c) right angles.
(d) congruent triangles.

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

(a) 28cm²
(b) 18cm²
(c) 20cm²
(d) 24cm²

7. PQRS is a trapezium with PQ║SR. A line parallel to PR intersects PQ at X and QR at Y. If ar(△PYR) = 5cm²,then ar(△PXS) is

(a) 15cm²
(b) 5cm²
(c) 9cm²
(d) 8cm²

8. 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).

9. 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) 22 cm, 51 cm
(b) 20 cm, 40 cm
(c) 25 cm, 50 cm
(d) 35 cm, 53 cm

10. Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is
(a) it is 3 : 4
(b) it is 2 : 1
(c) it is 1 : 2
(d) it is 1 : 1