Questions & Answers: "Quadrilaterals"

Diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠OAB is

Three angles of a quadrilateral are 75°, 90° and 75°. The fourth angle is

A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is

ABCD is a rhombus such that ∠ACB = 40°. Then ∠ADB is

The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if

The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rhombus, if

If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is a

If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a

If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form

The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is

D and E are the mid-points of the sides AB and AC of ∆ABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if,

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32° and ∠AOB = 70°, then ∠DBC is equal to

Which of the following is not true for a parallelogram?

D and E are the mid-points of the sides AB and AC respectively of ∆ABC. DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is