English Medium Class 9 - CBSE Question Bank Solutions

In the below fig, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.

Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.

If one of the four angles formed by two intersecting lines is a right angle, then show that
each of the four angles is a right angle.

In the below fig, rays AB and CD intersect at O.
 Determine y when x = 60°

In the below fig, rays AB and CD intersect at O

Determine x when y =40

In the below fig, lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF,
∠DOE and ∠BOF.

Two lines AB and CD intersect at O. If `∠`AOC + `∠`COB + `∠`BOD = 270°, find the
measures of `∠`AOC, `∠`COB, `∠`BOD and `∠`DOA.

If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.

Plot the following point on the graph paper:

 (0, 0)

Write the coordinates of each of the following points marked in the graph paper:

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?