Question

$\overline{WX}$and $\overline{YZ}$are perpendicular bisectors of each other.

Zis equidistant from$\underset{¯}{ ? }$and $\underset{¯}{ ? }$.

Short answer

Zis equidistant from $W$and $X$.

Step-by-step solution

Step 1.  Define Perpendicular Bisector

A perpendicular bisector of a segment is a line or a ray or a segment that is perpendicular to the segment and passes through its midpoint.

Step 2.  Observe the diagram

In the below diagram, let the point of intersection of two perpendicular bisectors be O So, as per the definition of perpendicular bisector $WO=OX$and $YO=OZ$.

Step 3.  State the conclusion 

As $\overline{WX}\&\overline{YZ}$ are perpendicular bisectors of each other, so, $\overline{YZ}$is passing through midpoint of role="math" localid="1649972280625" $\overline{WX}$.

So, $Z$is equidistant from $W$and$X$. Hence, the blank is filled with terms $W$and$X$.