Question

which of the following is a step used to inscribe a square in a circle? construct an arc by placing the point of the compass on an endpoint of the diameter and the pencil on the center of the circle. draw line segments to connect the points where the arc intersects the circle to both endpoints of the original diameter. construct an arc by placing the pencil at a point outside the circle and the point of the compass at the point where the diameter intersects the line segment. draw line segments to connect only the points where all three diameters intersect the circle to form a square.

Explanation:

To inscribe a square in a circle, we first draw a diameter. Then we construct arcs from the endpoints of the diameter. After that, we draw line - segments to connect the points where the arcs intersect the circle to both endpoints of the original diameter. This creates a square inscribed in the circle. Option 1 is incorrect as the compass placement is wrong for the arc - construction step. Option 3 is incorrect as the compass and pencil placement described is not part of the standard square - in - circle construction. Option 4 is incorrect as we don't need three diameters to inscribe a square; we just need one diameter and related arc - construction.

Answer:

Draw line segments to connect the points where the arc intersects the circle to both endpoints of the original diameter.