Question

15) Geoff has been given three points A, B, and C that are not on a line and he is trying to construct a circle that passes through all of the three points. So far he has created two line segments, AB and BC and found the perpendicular bisector of both segments. What step should he do next?

a.Construct the intersection point of the two perpendicular bisectors.
b.Construct the perpendicular bisector of AB.
c.Construct the circle using the intersection point of the perpendicular bisectors as the center and the length of AB as the radius.
d.Construct the circle using the length of BCas the diameter.

Answer 1

Points B, C, D, and E are equidistant from the center of the circle.

Explanation:

Answer 2

B)
Here’s why:
In order to create the circle he is going to need to construct both perpendicular bisectors, find their intersection point and then construct a circle with the intersection point as the center and the distance from the intersection point to any of the three original points as the radius. If all he has done is create two line segments between the points, then his next step should be Construct the perpendicular bisector of AB.