Question

Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she in the process of constructing?

Answer 1

Layla is creating a polygon with 4 equal sides in a circle.
This will be a regular polygon with 4 equal sides and 4 equal angles,

Layla is creating a square inside a circle.

Answer 2

The polygon she is trying to construct is square.

Explanation:

Construct: a square inscribed in a circle.

STEPS:

1. Using your compass, draw a circle and label the center O.

2. Using your straightedge, draw a diameter of the circle, labeling the endpoints A and C.

3. Construct the perpendicular bisector of the diameter, AC

4. Label the points where the bisector intersects the circle as B and D.

5. Connect points A to B to C to D to form the square.