Question

in the figure below, points q, x, y, and s lie in plane p. points r and t do not lie in plane p. for each part below, fill in the blanks to write a true statement. (a) $overleftrightarrow{xy}$ and $overleftrightarrow{rt}$ are distinct lines that intersect. (b) t, s, and r are distinct points that are collinear. (c) another name for plane p is plane q. (d) point q and line $square$ are coplanar.

Explanation:

Step1: Recall coplanar definition

Coplanar means lying in the same plane. Points $Q, X, Y, S$ lie in plane $P$.

Step2: Identify relevant lines in plane $P$

Lines $\overleftrightarrow{XY}$ and $\overleftrightarrow{QS}$ and $\overleftrightarrow{XS}$ etc. are in plane $P$. Since point $Q$ is in plane $P$, any line in plane $P$ will be coplanar with $Q$. We can choose $\overleftrightarrow{XY}$ (or other lines in plane $P$ like $\overleftrightarrow{QS}$ etc.).

Answer:

(d) $\overleftrightarrow{XY}$