Question

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

Explanation:

1. $\overline{PQ}$ is not a segment bisector: it does not divide another segment into two equal parts.
2. There is no marking or proof that the angles with vertex $Q$ are congruent.
3. There is no right angle symbol or proof that $P$ is the vertex of a right angle.
4. There is no right angle symbol or proof that $Q$ is the vertex of a right angle.
5. $Q$ is the midpoint of $\overline{ON}$: the tick marks show $OQ = QN$, so $Q$ splits $\overline{ON}$ into two congruent segments.

Answer:

Q is the midpoint of a segment in the diagram.