Question

CD is the perpendicular bisector of both XY and ST and CY=20.

Answer 1

Is a 5 percent effective

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

It is given that CD is the perpendicular bisector of both XY and ST, and CY=20.

In triangle XCD and YCD,

$CD=CD$                         (Common sides)

$\angle XDC=\angle YDC=90^{\circ}$              (Definition of perpendicular bisector)

$\angle XD=\angle YD$              (Definition of perpendicular bisector)

By SAS postulate of congruent triangles,

$\triangle XCD=\triangle YCD$

The corresponding parts of congruent triangle are congruent,

$CX=CY$                (CPCTC)

$XC=20$                 (CY=20)

The length of CX is 20 units. Therefore the correct option is C.