Question

no additional details were added for this assignment. a circle with a center o is given. using a straightedge and compass, construct a square inscribed in the circle. drag and drop your answer to complete the sentences. 1. draw a passing through the center o of the circle. 2. use the compass to construct a perpendicular to the first one. 3. mark the points of intersection of the circle and the two lines to get four vertices of the square. 4. connect the using a straightedge to form the square.

Explanation:

Step1: Draw a diameter

Draw a straight - line segment passing through the center \(O\) of the circle using the straightedge. This is the first step as the diameter will be a key reference for the construction.

Step2: Construct a perpendicular diameter

Use the compass to construct a diameter perpendicular to the first one. The property of perpendicular diameters in a circle helps in getting the correct angles for the square.

Step3: Mark the intersection points

Mark the points where the two diameters intersect the circle. These four points will be the vertices of the square because of the symmetry of the circle and the perpendicular diameters.

Step4: Connect the vertices

Connect the four marked vertices using a straightedge to form the square inscribed in the circle.

Answer:

1. diameter
2. diameter
3. four vertices
4. four vertices