You are constructing a tangent line from a point outside a given circle to the circle. You have drawn the circle, a point outsid
e the circle and connected the center of the circle to the point outside the circle. You found the midpoint of the segment. Next you must use your compass. After you set it, where should you put the point? A)
The center of the circle
The point of tangency is the intersection of the original circle and the semicircle whose diameter is the segment from the original circle center to the external point. The step being described is the step where the semicircle is being drawn, so the point of the compass will be at the midpoint of the segment.