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?

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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:

Answer:

Option: D is the correct answer.

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

Step-by-step 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.
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        Hence, the answer is:

           Option: D

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