Question

select the best description for the diagram. xy in plane p is bisected by point a, and point c is not on xy. point c is in plane p, and xy is intersected by ca. plane p contains xy, which is bisected by point c. xy in plane a is bisected by point c, and point p is not on xy

Explanation:

Step1: Analyze the diagram elements

We see a line segment $\overline{XY}$ in a plane $P$, a point $C$ and another point $A$. Point $C$ is not on $\overline{XY}$ and $\overline{XY}$ is in plane $P$.

Step2: Evaluate each option

• Option 1: There is no indication that $\overline{XY}$ in plane $A$ (no plane $A$ shown in relevant way in diagram), so this is wrong.
• Option 2: There is no evidence that plane $P$ contains $\overline{XY}$ which is bisected by point $C$.
• Option 3: The diagram shows point $C$ in plane $P$ and $\overline{XY}$ intersected by some line - like $\overline{CA}$ makes sense as we can assume a line from $C$ to some point on $\overline{XY}$.
• Option 4: There is no indication that $\overline{XY}$ in plane $P$ is bisected by point $A$.

Answer:

Point C is in plane P, and $\overline{XY}$ is intersected by $\overline{CA}$.