In parallelogram ABCD, the bisector of angle A meets DC at P and AB = 2AD.
Prove that :
(i) BP bisects angle B.
(ii) Angle APB = `90^(@)`

In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2AD. Prove that: BP bisects angle B

In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2AD. Prove that: Angle APB= 90^(@)

In a parallelogram ABCD, the bisector of angleA bisects the line B at point X. Prove that AD = 2AB.

In parallelogram ABCD, E is the mid-point of side AB and CE bisect angle BCD. Prove that : (i) AE=AD (ii) DE bisect angleADC and (iii) Angle DEC is a right angle.

In a parallelogram ABCD, AB= 20 cm and AD= 12cm. The bisector of angle A meets DC at E and BC produced at F. Find the length of CF.

In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC bisects angle BAD

In the following figure , ABCD is a cyclic quadrilateral in which AD is parallel to BC . If the bisector of angle A meets BC at point E and given circle at point F, prove that : (i) EF =FC (ii) BF = DF

In parallelogram ABCD, the bisectors of adjacent angles A and D intersect each other at point P. prove that angleAPD=90^(@) .

In Delta ABC , AB = AC and the bisectors of angles B and C intersect at point O. Prove that : (i) BO = CO (ii) AO bisects angle BAC.

In quadrilateral ABCD, AD = BC and BD = CA. Prove that : (i) angle ADB = angle BCA (ii) angle DAB = angle CBA