ABCD is a rhombus. RABS is a straight line such that RA = AB = BS. Prove that RD and SC when produced meet at right angles.

A B C D is a rhombus, E A B F is a straight line such that E A=A B=B F . Prove that E D and F C when produced meet at right angles.

A B C D is a rhombus, E A B F is a straight line such that E A=A B=B F . Prove that E D and F C when produced meet at right angles.

Given : ABCD is a rhombus, DPR and CBR are straight lines. Prove that : DP xx CR = DC xx PR .

In the pentagon ABCDE, angle A= 110^(@) , angle B= 140^(@) and angle D= angle E. The sides AB and DC, when produced, meet at right angle. Calculate angles BCD and E.

Prove that :The diagonals of a rhombus bisect each other at right angle.

Delta ABD is a right triangle, right-angled at A and AC _|_ BD . Prove that AB^2 = BCxxBD .

ABCD is a quadrilateral in which AB||DC and AD = BC. Prove that angleA=angleB and angleC= angleD .

ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the angles of the rhombus.

The sides AB and DC of a cyclic quadrilateral ABCD when produced meet at E and the sides DA and CB when produced meet at F. Given angle BEC=38^(@) , angle BAD=102^(@) . Find the values of angle AFB and angle ADC .

ABC is a right triangle with AB = AC .If bisector of angle A meet BC at D then prove that BC = 2 AD .