Q : 7 AC and BD are chords of a circle which bisect each other. Prove that
(ii) ABCD is a rectangle.
Given : AC and BD are chords of a circle which bisect each other.
To prove : ABCD is a rectangle.
Construction : Join AB,BC,CD,DA.
Proof :
ABCD is a parallelogram . (proved in (i))
(proved in (i))
A parallelogram with one angle is a rectangle )
Thus, ABCD is a rectangle.