Question

1. look at the figure. describe the relationship between $overline{ap}$ and $overline{bp}$. $overline{ap}$ is twice the length of $overline{bp}$. $overline{ap}$ and $overline{bp}$ are congruent. $overline{ap}$ is perpendicular to $overline{bp}$

Explanation:

Step1: Identify the construction

The figure shows the construction of a perpendicular bisector of line segment $AB$. Point $P$ is on the perpendicular bisector of $\overline{AB}$.

Step2: Recall property of perpendicular bisector

Any point on the perpendicular bisector of a line - segment is equidistant from the endpoints of the line - segment. So, for point $P$ on the perpendicular bisector of $\overline{AB}$, we have $AP = BP$.

Answer:

$\overline{AP}$ and $\overline{BP}$ are congruent.