# Areas of Parallelograms and Triangles

This is an MCQ based on the Areas of Parallelograms and Triangles.

Which includes the concepts of the median, trapezium, properties of triangles, rhombus, and different types of triangles.

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AE is a median to side BC of triangle ABC. If area(ΔABC) = 24 cm, then area(ΔABE) =

8 cm 12 cm 16 cm 18 cm

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

30 cm2 20 cm2 39 cm2 60 cm2

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

ar (PRD) ar (DQM) ar (PED) ar (DQR)

If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then,

ar (AOD) = ar (BOC) ar (AOD) > ar (BOC) ar (AOD) < ar (BOC) None of the above

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

1 : 2 1 : 1 2 : 1 3 : 1

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

1 : 3 1 : 2 3 : 1 1 : 4

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

96 cm² 36 cm² 48 cm² 24 cm²

If E, F, G and H are the mid-points of the sides of a parallelogram ABCD, respectively, then ar (EFGH) is equal to:

1/2 ar(ABCD) ¼ ar(ABCD) 2 ar(ABCD) ar(ABCD)

If P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD, then:

ar(APB) > ar(BQC) ar(APB) < ar(BQC) ar(APB) = ar(BQC) None of the above

If ABCD and EFGH are two parallelograms between same parallel lines and on the same base, then:

ar (ABCD) > ar (EFGH) ar (ABCD) < ar (EFGH) ar (ABCD) = ar (EFGH) None of the above

A median of a triangle divides it into two

Congruent triangles Isosceles triangles Right triangles Equal area triangles

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 the parallelogram will be:

1:2 3:2 1:4 1:3

BCD is quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD is

Is a rectangles

Is a parallelogram

Is a rhombus

Need not be any of (a), (b) or (c).

The median of a triangle divides it into two

Isosceles triangle

Congruent triangles

Right angled triangle

Triangles of equal areas

ABCD is a quadrilateral whose diagonal AC divides it in two parts of equal area, then ABCD is a

Rectangle

Rhombus

Parallelogram

Need not be any of (a), (b) or (c)

Quiz/Test Summary
Title: Areas of Parallelograms and Triangles
Questions: 15
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