Question

suppose you have drawn a circle using a compass and marked its center. what should be the next step in constructing a square inscribed in the circle using a straightedge and compass?
draw two diameters to form a square inside the circle
draw a diameter across the circle using a straightedge
draw a radius from the center to a point on the circle using straightedge
draw a chord not closest to the center

Explanation:

Step1: Recall properties of inscribed square

A square inscribed in a circle has its diagonals as the diameter of the circle. To construct the square, we first need to create right - angled isosceles triangles within the circle.

Step2: Determine the first step

The first step after drawing the circle is to draw a diameter across the circle using a straightedge. This diameter will serve as the base for constructing the right - angled triangles that form the square.

Answer:

Draw a diameter across the circle using a straightedge