Question

1. \\( \overleftrightarrow { c d } \\) is the perpendicular bisector of both \\( \overline { x y } \\) and \\( \overline { s t } \\), and \\( \overline { c y } = 20 \\).

find ct.
7
14
15
9

Explanation:

Step1: Use the property of perpendicular bisector

Since \( \overleftrightarrow{CD} \) is the perpendicular bisector of \( \overline{ST} \), by the perpendicular bisector theorem, \( CS = CT \).

Step2: Substitute the value of \( CS \)

We are given that \( CS = 15 \).

Answer:

\( CT = 15 \) (So the answer is 15)