Question

in the figure below, points l, j, m, n, and p lie in plane z. points h and k do not lie in plane z. for each part below, fill in the blanks to write a true statement. (a) point l and line are coplanar. (b) suppose line lk is drawn on the figure. then lk and are distinct lines that intersect. (c) another name for plane z is plane . (d) and n are distinct points that are collinear.

Explanation:

Step1: Recall coplanar concept

Coplanar points and lines lie in the same plane. Since point $L$ and a line in plane $Z$ (for example line $MN$) are in plane $Z$, we can say point $L$ and line $MN$ are coplanar.

Step2: Identify intersecting lines

We can see that line $LK$ and line $JM$ (for example) are distinct lines in the figure that can intersect as they are in the same general - space related to the plane and non - parallel.

Step3: Name the plane differently

A plane can be named by three non - collinear points on it. Points $J$, $M$, $N$ are non - collinear points on plane $Z$, so another name for plane $Z$ is plane $JMN$.

Step4: Find collinear points

Points $M$ and $N$ are distinct points on the same line in the plane, so they are collinear.

Answer:

(a) $MN$
(b) $JM$
(c) $JMN$
(d) $M$, $N$