Question

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. What step should he do next?

Answer 1

In the next step he has to construct perpendicular bisectors of lines AB and BC.

Explanation:

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.

Now, so far he has created two line segments, AB and BC.

Now, in the next step, he has to construct perpendicular bisectors of lines AB and BC.

Let the perpendicular bisectors of AB and BC meet at point O, then O will be the center of the required circle.

Now, draw circle making point O as the center and length OA or OB or OC as the radius. (Answer)