Can someone help me with this?

1. Beth Orbowski has a problem. She has a beautiful piece of wood cut in the shape of a perfect circle. Beth wants to use the circle. piece as a rotating "Lazy Susan" for her dining room table, but in order to do so she must locate the exact center of the ETE A. You can use constructions to locate the center of a circle. Follow the steps to find the circle's center. a. Mark points A and B on the circle. Draw AB b. Mark points D and E on the circle. Draw DE c. Your drawing should look similar to the one shown. d. Construct the perpendicular bisectors of AB and DE. Label the intersection of these two perpendicular bisectors point C. This is the circle's center. You can verify this by setting your compass from point C to any of points A, B, D, or E and tracing around the circle. B. Why does it work? By definition, a circle is the set of all points in a plane equidistant from a fixed point, which is the circle's center. "Points on a segment's perpendicular bisector are equidistant from the endpoints of the segment." Use this conjecture along with your construction to explain why point C is the circle's center