Question

prove that any rectangle is a cyclic quadrilateral​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called circumcircle or circumscribed circle, and the vertices are said to be concyclic. The center of the circle and its radius are called the circumcenter and the circumradius respectively.

Now, one of the most important properties of a cyclic quadrilateral is the supplementary angle property. It says, a quadrilateral is cyclic if and only if its opposite angles are supplementary or 180 degrees.

Now, let us come to the question. We have to prove that, any rectangle is a cyclic quadrilateral.

Assume any rectangle ABCD, we know that all the angles of a rectangle are 90 degrees. Therefore,

∠A=∠B=∠C=∠D=90∘∠A=∠B=∠C=∠D=90∘.

Step-by-step explanation:

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