Question

Robert is completing of a square inscribed in a circle, as shown below. what should be the next step in his construction

Answer 1

The next step in his construction should be to construct a perpendicular bisector to line AB.

What is the perpendicular bisector?

A perpendicular bisector is a line which bisects other line segment at a right angle, through the intersection point.

A perpendicular bisector divides a line segment through the midpoint.

Properties of perpendicular bisector

• Divides AB into two equal halves or bisects it.
• Makes right angles with (or is perpendicular to) AB.
• Each and Every point in the perpendicular bisector is equidistant from point A and B.

In the given question we need to make a square inside a circle whose diameter AB is marked.

To make a square we need to make a right angle at the center as it is the property of a square.

We can make that right angle by constructing a perpendicular bisector to AB.

Then by joining all the corners of two lines we can construct Square inscribed in a circle.

To learn more perpendicular bisector,

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