Question

cd is the perpendicular bisector of both xy and st, and cy = 20. find ct.

Explanation:

Step1: Recall perpendicular - bisector property

If a line is the perpendicular bisector of a segment, any point on the perpendicular bisector is equidistant from the endpoints of the segment. Since $\overline{CD}$ is the perpendicular bisector of $\overline{ST}$, then $CS = CT$.

Step2: Identify given length

We are given that $CS = 15$.

Answer:

15