Question

4.3 perpendicular bisector theorem
math perpendicular bisector theorem an-
py = py
what is the conclusion in the second one?
pq is the perpendicular bisector of xy
rewatch
multiple - choice question

Explanation:

Step1: Recall perpendicular - bisector theorem

The perpendicular - bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Step2: Analyze given information

We are given that $PQ$ is the perpendicular bisector of $XY$ and $PX = PY$. The conclusion based on the perpendicular - bisector theorem is that any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment. Here, since $PQ$ is the perpendicular bisector of $XY$, any point on $PQ$ (in this case, point $P$) satisfies the property $PX=PY$.

Answer:

A point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment.