CBSE Class 9 Maths – MCQ and Online Tests – Unit 9 – Areas of Parallelograms and Triangles
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CBSE Class 9 Maths – MCQ and Online Tests – Unit 9 – Areas of Parallelograms and Triangles
Question 1.
A, B, C and D are the mid-points of sides of parallelogram PQRS. If ar(PQRS) = 36 cm², then ar(ABCD) is
(a) 24 cm²
(b) 18 cm²
(c) 30 cm²
(d) 36 cm²
Answer
Answer: (b) 18 cm²
Question 2.
If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is
(a) 1 : 3
(b) 1 : 2
(c) 3 : 1
(d) 1 : 4
Answer
Answer: (b) 1 : 2
Question 3.
The median of a triangle divides it into two
(a) isosceles triangle
(b) congruent triangles
(c) right angled triangle
(d) triangles of equal areas
Answer
Answer: (d) triangles of equal areas
Question 4.
PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(PQRS) = 48 cm², then ar(?PBS) + ar(?ASR) is equal to
(a) 96 cm²
(b) 36 cm²
(c) 48 cm²
(d) 24 cm²
Answer
Answer: (c) 48 cm²
Question 5.
D and E are the mid-points of BC and AD respectively. If ar(?ABC) = 12 cm², then ar(?BDE) is
(a) 5 cm²
(b) 6 cm²
(c) 3 cm²
(d) 9 cm²
Answer
Answer: (c) 3 cm²
Question 6.
ABCD is a quadrilateral whose diagonal AC divides it in two parts of equal area, then ABCD is a
(a) rectangle
(b) rhombus
(c) parallelogram
(d) need not be any of (a), (b) or (c)
Answer
Answer: (d) need not be any of (a), (b) or (c)
Question 7.
Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is
(a) 1 : 2
(b) 1 : 1
(c) 2 : 1
(d) 3 : 1
Answer
Answer: (b) 1 : 1
Question 8.
PQRS is a parallelogram. If X and Y are the mid-points of PQ and SR and diagonal SQ is joined, then ar(XQRY) : ar(?QSR) is
(a) 1 : 2
(b) 1 : 4
(c) 1 : 1
(d) 2 : 1
Answer
Answer: (c) 1 : 1
Question 9.
In quadrilateral PQRS, M is the mid-point of PR. If ar(SMQR) = 18 cm², then ar(PQMS) is
(a) 24 cm²
(b) 12 cm²
(c) 18 cm²
(d) 36 cm²
Answer
Answer: (c) 18 cm²
Question 10.
ABCD is a trapezium in which AB || DC. If ar(?ABD) = 24 cm² and AB = 8 cm, then height of ?ABC is
(a) 3 cm
(b) 6 cm
(c) 8 cm
(d) 4 cm
Answer
Answer: (d) 4 cm
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