Question

A pair of perpendicular line segments intersecting at which point would be the diagonals of a square inscribed in the circle?

Answer 1

The point at which the two perpendicular line segments will intersect will be the center of the circle.

Explanation:

The pair of perpendicular line segments which are the diagonals of the square inscribed in a circle will intersect each other at the center of the circle.

As we know that the diagonals of square bisect each other and also are perpendicular to each other.

Hence, the point of intersection is the center of the circle.

From the figure we could see that
`P_1P_3,P_2P_4` are the diagonals of the square inscribed in a circle.

Answer 2

The diagonals of the inscribed square will intersect at the center of the circle.