Question

Josefina is inscribing a square in a circle with center c. She first uses a straight edge to draw a diameter of the circle through the center. Then, using a compass and straight edge, she constructs the perpendicular bisector of the diameter forming another diameter. Which of these steps is her next step?

A. Open the compass to a width equal to the diameter of the circle.
B. Use a straight edge to extend the diameters outside the circle.
C. Open the compass to the distance between consecutive points on the circumference of the circle.
D. Use a straight edge to connect the four points.

Answer 1

THE ACTUAL answer is to:

D. Use a straight edge to connect the four points where the circle intersects the diameters.

have no idea how the other dude got his answer but it is certainty not c

Answer 2

Option: D is the correct answer.

D. Use a straight edge to connect the four points.

Explanation:

The steps for the construction of a square inscribed in a circle is as follows:

• Draw a circle with center c.

• Now draw a diameter of a circle using a straightedge.

• Next draw a perpendicular bisector of the diameter using compass and then using straightedge see the points on the circle where the perpendicular bisector meets.

• Next use a straightedge to connect the 4 points to get the required square.

Hence, the answer is:

Option: D