Question

which statement could be placed in step 3? a any circle that contains s and t has its center on the bisector of st, x = 6. b any circle that contains s and t has its center on the segment that intersects st, x = 3. c any circle that contains s and t has its center on the perpendicular bisector of st, y = 6. d any circle that contains s and t has its center on the segment perpendicular to st, y = 5.

Explanation:

Step1: Recall circle - center property

The center of a circle that passes through two points lies on the perpendicular bisector of the line - segment joining those two points.

Answer:

C. Any circle that contains S and T has its center on the perpendicular bisector of $\overline{ST},y = 6$