Question

Cool Down: Revisiting Perpendicular Bisectors

Conjecture: If a point is on the perpendicular bisector of a line segment, then that point must be the same distance from each endpoint of the segment.
Sketch and label a diagram of this situation.
- Mark any segments or angles you know to be congruent.
- Mark any other information you know.

Answer 1

To sketch the situation, draw a line segment. Find the midpoint and draw a perpendicular bisector. Mark a point on the bisector as P, which is equidistant from A and B.

Step-by-step explanation:

To sketch and label a diagram of this situation, you would start by drawing a line segment. Then, find the midpoint of the line segment and draw a perpendicular line through it. This line is the perpendicular bisector. Next, label the endpoints of the segment as A and B. Finally, mark a point on the perpendicular bisector as P.

Since P is on the perpendicular bisector, it is equidistant from both endpoints, A and B. You can mark the distances from P to A and P to B as equal lengths to illustrate this.