One of the most important and exam oriented question from Chapter name- circles

Topic – Angle properties of circles

Chapter number- 15

In this question it is given that the sides of a rectangle touch a circle,

Now using the properties of circle we have to prove that the rectangle is a square.

ICSE Avichal publication

Understanding ICSE Mathematics

Question 37

Solution:Given: A circle touches the sides AB, BC, CD and DA

of a rectangle ABCD at P, Q, R and S respectively.

To Prove : ABCD is a square.