Mathematics
The following figure shows a circle with center O. If OP is perpendicular to AB, prove that AP = BP.

Related Questions
In the given figure, ∠x = ∠y and PO = RO, then :
RB = AO
BO = PA
BP = AR
RB = OB

In the given figure, BC // DA and BC = DA, then :
AB and CD bisect each other
AB ≠ CD
OA = OC
OA = OD

In a triangle ABC, D is mid-point of BC; AD is produced upto E, so that DE = AD. Prove that :
(i) △ ABD and △ ECD are congruent.
(ii) AB = EC
(iii) AB is parallel to EC.
From the given diagram, in which ABCD is a parallelogram, ABL is a line segment and E is mid point of BC.
Prove that :
(i) △ DCE ≅ △ LBE
(ii) AB = BL
(iii) AL = 2DC

