Q 1 – In the given figure, BG ⊥ AD and CH AD. ABCF and BCDE are parallelogram.
If BG = 12 cm and ED = 6 cm, then what is the area of ∆ ABF?
a) 36 cm2
b) 48 cm2
c) 60 cm2
d) 72 cm2
Q 2 –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
Q 3 – In the given figure ABCD is a parallelogram and its area is 64 cm2. If P is any point in the interior of ∥ ABCD, then ar (∆APD) + ar (∆ PBC) is equal to
a) 16 cm2
b) 64 cm2
c) 48 cm2
d) 32 cm2
Q 4 – 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
Q 5 – A parallelogram ABCD and a rectangle ABEF are constructed on the same base AB and the parallel line CF, as shown in the figure. The area of the parallelogram ABCD is A1 and the area of the rectangle is A2.
What is the relation between A1 and A2 ?
a) A1 = 2A2
b) A2 = 2A1
c) A1 = A2
d) A1 = 3A2
Q 6 – In the given figure, AB CD, AC DE and CE BD. What is the value of (Area of ∆ACE/ Area of ∆BDE) ?
a) 2
b) 3
c) 1
d) 5
Q 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
Q 8 – In the given figure if ar (∥ABEF) = ar (∥ABCD) = 50 cm2, AFGH is a parallelogram and points E, B, G and H are collinear points, then ar ( ∥AFGH) is
a) 50 cm2
b) 75 cm2
c) 100 cm2
d) 25 cm2
Q 9 – PQR is a triangle. S is any point on a line through P parallel to QR. If T is any point on a line through R parallel to SQ, then the three triangles equal in area are
a) ∆ QRT, ∆SRT, ∆QSR
b) ∆ PQR, ∆QSR, ∆QST
c) ∆QSR, ∆TSR, ∆PQR
d) ∆PQR, ∆QSR, ∆QRT
Q 10 – 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
Q 11 – The given figure shows ABC and ABD that have the same area. It is also given that OC = OD and ∠OBA = 46° .
What is the measure of DAB?
a) 58°
b) 44°
c) 46°
d) 30°
Q 12 – 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
Q 13 – The given figure shows a parallelogram ABCD where E and F are points on the side AB and DC respectively.
Which of the following relations is true?
a) area (∆AFB) = area (∆DEC)
b) area (∆AFB) = 2 area (∆ADF)
c) 3 area (∆AFB) = 2 area (∆DEC)
d) 3 area (∆ECB) = 2 area (∆ADF)
Q 14 – 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)
Q 15 – 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)
Q 16 – 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
Q 17 – Given figure shows a parallelogram PQRS in which A and B are any two points in the interior region. AS and BP intersect each other at C, while AR and QB intersect each other at D.
If area (ASBR) = 35 cm2 and area (ACBD) = 20 cm2, then what is the area of the shaded portion?
a) 30 cm2
b) 65 cm2
c) 55 cm2
d) 50 cm2
Q 18 – ABCD and ABFE are parallelograms as shown in the figure. If ar (ABCD) = 24 cm2 and ar (ABFE) = 18 cm2, then ar (EFCD) is
- 36 cm2
- 42 cm2
- 30 cm2
- 20 cm2
Q 19 – PORS is trapezium. A line drawn parallel to QP through R meets a line parallel to RP drawn through S at X. If ar (PQRS) is 22 cm2 and ar (∆ PQR) = 8 cm2, then ar(∆PXR) is
a) 15 cm2
b) 14 cm2
c) 8 cm2
d) 20 cm2
Q 20 – 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