The diagonals of a parallelogram ABCD intersect at a point O. Through O, a line is drawn to intersect AD at P and BC at Q. Show that PQ divides the parallelogram into two parts of equal area.

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Diagonals of Parallelogram Bisect Each Other | PadhAiPro

Question

TextDiagonals of Parallelogram Bisect Each OtherNCERT Exemplar

E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.

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

Diagonals of Parallelogram Bisect Each Other

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

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

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

ABCD is a parallelogram. If its diagonals are equal, then find the value of ∠ABC.