English Medium Class 9 - CBSE Question Bank Solutions

Find the area of a quadrilateral ABCD is which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

Area of PQRS = Area of PQR + Area of ΔPQS = (6+9.166)𝑐𝑚2=15.166𝑐𝑚2

In a parallelogram ABCD, ∠D = 135°, determine the measures of ∠A and ∠B

The sides of a quadrilateral, taken in order are 5, 12, 14 and 15 meters respectively, and the angle contained by the first two sides is a right angle. Find its are

The following statement are true  and false .

In a parallelogram, the diagonals are equal

The following statement are true  and false. 

In a parallelogram, the diagonals bisect each other.

The following statement are true  and false .

In a parallelogram, the diagonals intersect each other at right angles .

The following statement are true  and false .

In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

The following statement are true  and false .

If all the angles of a quadrilateral are equal, it is a parallelogram .

A park, in the shape of a quadrilateral ABCD, has ∠C = 900, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m How much area does it occupy?

The following statement are true  and false .

If three sides of a quadrilateral are equal, it is a parallelogram .

The following statement are true  and false . 

If three angles of a quadrilateral are equal, it is a parallelogram .

The following statement are true  and false . 

If all the sides of a quadrilateral are equal it is a parallelogram.

Two parallel side of a trapezium are 60 cm and 77 cm and other sides are 25 cm and 26 cm. Find the area of the trapezium.

Find the area of a rhombus whose perimeter is 80 m and one of whose diagonal is 24 m.

Find the area of a quadrilateral ABCD in which AD = 24 cm, ∠BAD = 90° and BCD forms an equilateral triangle whose each side is equal to 26 cm. (Take √3 = 1.73)

Find the perimeter and area of the quadrilateral ABCD in which AB = 17 cm, AD =9 cm, CD = l2cm, ∠ACB = 90° and AC=l5cm.

In the given below fig. ABCD, ABFE and CDEF are parallelograms. Prove that ar (ΔADE)
= ar (ΔBCF)

A line segment AB is of length 5 cm. Draw a circle of radius 4 cm passing through A and B. Can you draw a circle of radius 2 cm passing through A and B? Give reason in support of your answer.

ABCD is a parallelogram, G is the point on AB such that AG = 2 GB, E is a point of DC
such that CE = 2DE and F is the point of BC such that BF = 2FC. Prove that:

(1)  ar ( ADEG) = ar (GBCD)

 (2)  ar (ΔEGB) = `1/6` ar (ABCD)

 (3)  ar (ΔEFC) = `1/2` ar (ΔEBF)

 (4)  ar (ΔEBG)  = ar (ΔEFC)

 ⁽⁵⁾ΔFind what portion of the area of parallelogram is the area of EFG.