Question

You are constructing a tangent line from a point outside a given circle to the circle. You have drawn the circle, a point outside 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

B)
The point outside the circle

C)
The midpoint of the segment

D)
The intersection of the segment and the circle

Answer 1

The mid point of the segment

Explanation:

Answer 2

C) The midpoint of the segment

Explanation:

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.