English Medium Class 9 - CBSE Question Bank Solutions

The median of a triangle divides it into two ______.

In a ΔABC, D, E, F are the mid-points of sides BC, CA and AB respectively. If ar (ΔABC) = 16cm², then ar (trapezium FBCE) =

ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm², then ar (ΔAPB) =

Diagonals necessarily bisect opposite angles in a

The two diagonals are equal in a

The figure formed by joining the mid-points of the adjacent sides of a square is a

If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is

If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?

If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to

The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is

In a rhombus ABCD, if ∠ACB = 40°, then ∠ADB =

A, B, C, D are mid-points of sides of parallelogram PQRS. If ar (PQRS) = 36 cm², then ar (ABCD) =

In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°. The angles of the triangle formed by joining the mid-points of the sides of this triangle are

The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is ______.

If AD is median of ΔABC and P is a point on AC such that
ar (ΔADP) : ar (ΔABD) = 2 : 3, then ar (Δ PDC) : ar (Δ ABC)

Medians of ΔABC intersect at G. If ar (ΔABC) = 27 cm², then ar (ΔBGC) =

In a ΔABC if D and E are mid-points of BC and AD respectively such that ar (ΔAEC) = 4cm², then ar (ΔBEC) =

In the given figure, ABCD is a parallelogram. If AB = 12 cm, AE = 7.5 cm, CF = 15 cm, then AD =

In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SRrespectively and diagonal Q is joined. The ratio ar (||^gm XQRY) : ar (ΔQSR) =

Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is