Question

Complete.

If $\mathit{R}$is on the perpendicular bisector of $\overline{\mathit{S}\mathit{T}}$, then $\mathit{R}$is equidistant from $\underset{\mathbf{¯}}{\mathbf{?}}$and $\underset{\mathbf{¯}}{\mathbf{?}}$. Thus $\underset{\mathbf{¯}}{\mathbf{?}}\mathbf{=}\underset{\mathbf{¯}}{\mathbf{?}}$.

Short answer

If $\mathit{R}$is on the perpendicular bisector of $\overline{ST}$, then$R$is equidistant from $\mathit{S}$and $\mathit{T}$. Thus,width="68" height="24" role="math">SR¯=TR¯

Step-by-step solution

Step 1. Definition of perpendicular bisector.

A perpendicular bisector of a segment is a line that is perpendicular to segment at its midpoint.

Step 2. Complete the first statement.

Since, a point on perpendicular bisector is equidistance from the end points of line segment.

Thus, $R$is equidistance from $S$and$T$

Step 3. Complete the second statement.

Since line segments froma point on perpendicular bisector to the end points of that perpendicular line segment are equal.

So,$\overline{SR}=\overline{TR}$