Question

A parallelogram inscribed in a circle is a) a rhombus b) a rectangle [ c) a square d) a parallelogram​

Answer 1

Answer:

a rectangle

Step-by-step explanation:

IS THE CORRECT ANSWER

DUE TO THIS

Parallelogram ABCD is cyclic.

∠A+∠C=180

0

     (opposite angle of cyclic quadrilateral)

But

∠A+∠C=90

0

 …….(1)     (opposite angle of parallelogram are equal)

Similarly, ∠B+∠D=180

0

But

∠B+∠D=90

0

 …….(2)     (opposite angle of parallelogram are equal)

AB=CD and AD=BC ……(3)      (opposite sides of parallelogram)

Opposite sides are equal and each angle is right angle.

Hence, ABCD is a rectangle.