Mathematics
In the given figure, AP is bisector of ∠A and CQ is bisector of ∠C of parallelogram ABCD. Prove that APCQ is a parallelogram.
Related Questions
Two alternate sides of a regular polygon, when produced, meet at right angle. Find :
(i) the value of each exterior angle of the polygon;
(ii) the number of sides in the polygon.
In parallelogram ABCD, AP and AQ are perpendiculars from vertex of obtuse angle A as shown. If ∠x : ∠y = 2 : 1; find the angles of the parallelogram.
In case of a parallelogram prove that :
(i) the bisectors of any two adjacent angles intersect at 90°.
(ii) the bisectors of opposite angles are parallel to each other.
The diagonals of a rectangle intersect each other at right angles. Prove that the rectangle is a square.