Megan thought of a way to construct an equilateral triangle inscribed in a circle. She used her compass, straight edge, and pencil. Please put the steps in order.

Question

Step 1:
Step 2:
Step 3:
Step 4:

a. She connected the intersection points of the new circle with the other endpoint of the diameter to make the equilateral triangle
b. She used the straightedge to draw a diameter of the circle that extended past the circle
c. She used her compass, open to the width of the radius, and put the pointed tip at one of the endpoints of the radius. She constructed a portion of a circle centered at this point
d. She used the compass to construct a circle

Answer 1

Here are the steps in order to construct an equilateral triangle inscribed in a circle:

Step 1: d. She used the compass to construct a circle.

Step 2: b. She used the straightedge to draw a diameter of the circle that extended past the circle.

Step 3: c. She used her compass, open to the width of the radius, and put the pointed tip at one of the endpoints of the radius. She constructed a portion of a circle centered at this point.

Step 4: a. She connected the intersection points of the new circle with the other endpoint of the diameter to make the equilateral triangle.