Question

Complete each statement.

It$O$ is on the perpendicular bisector of $\overline{LA}$, then $O$is equidistant from $\underline{?}$and $\underline{?}$.

Short answer

It $O$is on the perpendicular bisector of $\overline{LA}$, then $O$is equidistant from $\mathit{L}$and $\mathit{A}$.

Step-by-step solution

Step 1. Write the definition of perpendicular bisector.

The perpendicular bisector to a line is the line that is perpendicular to the given line and also passes through the midpoint of the given line.

Step 2. Write the theorem 4-5.

Theorem 4-5 states that if a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment.

Step 3. Write the complete statement.

It $Q$is on the perpendicular bisector of $\overline{LA}$, then $O$is equidistant from$L$ and $A$.