• Answer of this question

    Prove that a cyclic parallelogram is always a rectangle
    poonam sharma's image
    poonam sharma
    To prove that a llgm is a rectangle we need to prove that any one angle is 90.

    Given: ABCD is a cyclic llgm
    To prove : ABCD is a rectangle
    Proof : 

    angle A = angle C(opposite angles of llgm are equal)

    angle A angle C = 180 (sum of opposite angles of cyclic quadrilateral is 180)

    2angle of A = 180
    Angle A = 90

    Since, ABCD is a llgm and one angle is 90. So, ABCD is a rectangle.

    Hence Proved.



    Written on Feb. 9, 2018, 6:09 p.m.