NCERT MCQ CLASS-9 CHAPTER-9 | AREAS OF PARALLELOGRAM AND TRIANGLES | EDUGROWN

NCERT MCQ ON PARALLELOGRAM AND TRIANGLES

Question 1.
What is the area of a parallelogram?
(a) 12 × Base × Altitude
(b) Base × Altitude
(c) 14 × Base × Median
(d) Base × Base

Answer: (b) Base × Altitude

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Question 2.
AE is a median to side BC of triangle ABC. If area(ΔABC) = 24 cm, then area(ΔABE) =
(a) 8 cm
(b) 12 cm
(c) 16 cm
(d) 18 cm

Answer: (b) 12 cm

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Question 3.
In the figure, ∠PQR = 90°, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ΔPQR is

(a) 30 cm²
(b) 20 cm²
(c) 39 cm²
(d) 60 cm²

Answer: (a) 30 cm²

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Question 4.
BCD 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).

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

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Question 5.
In ΔPQR, 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)

Answer: (a) ar (PRD)

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Question 6.
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

Answer: (a) ar (AOD) = ar (BOC)

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Question 7.
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

Answer: (b) The line containing the common base

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Question 8.
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

Answer: (d) 1 : 1

Question 9.
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: (b) 1 : 2

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Question 10 .
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: (d) triangles of equal areas

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Question 11.
PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(PQRS) = 48 cm², then ar(ΔPBS) + ar(ΔASR) is equal to

(a) 96 cm²
(b) 36 cm²
(c) 48 cm²
(d) 24 cm²

Answer: (c) 48 cm²

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Question 12.
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: (b) 18 cm²

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Question 13.
ABCD is a trapezium in which AB || DC. If ar(ΔABD) = 24 cm² and AB = 8 cm, then height of ΔABC is

(a) 3 cm
(b) 6 cm
(c) 8 cm
(d) 4 cm

Answer: (d) 4 cm

Question 14.
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(ΔQSR) is

(a) 1 : 2
(b) 1 : 4
(c) 1 : 1
(d) 2 : 1

Answer: (c) 1 : 1

Question 15 .
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: (c) 18 cm²

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