Question

which of the following statements must be true based on the diagram below? select all that apply. (diagram is not to scale.) answer attempt 2 out of 2 $overline{pq}$ is a segment bisector. $overline{pq}$ is a perpendicular bisector. $q$ is the vertex of two angles that are congruent to one another. $q$ is the vertex of a right angle. $p$ is the midpoint of a segment in the diagram. none of the above.

Explanation:

Step1: Analyze segment bisector

There is no indication that $\overline{PQ}$ divides any segment into two equal - length parts, so $\overline{PQ}$ is not a segment bisector.

Step2: Analyze perpendicular bisector

There is no evidence that $\overline{PQ}$ is perpendicular to and bisects a segment, so $\overline{PQ}$ is not a perpendicular bisector.

Step3: Analyze congruent angles at Q

There is no information in the diagram to suggest that the angles with vertex $Q$ are congruent.

Step4: Analyze right - angle at Q

There is no right - angle symbol at $Q$, so $Q$ is not the vertex of a right - angle.

Step5: Analyze mid - point at P

There are tick marks on $\overline{OP}$ and $\overline{PL}$, which means $P$ is the mid - point of $\overline{OL}$.

Answer:

$P$ is the midpoint of a segment in the diagram.