Question

in the figure below, points h, m, n, and k lie in plane z. points j and l do not lie in plane z. for each part below, fill in the blanks to write a true statement. (a) $overleftrightarrow{nk}$ and are distinct lines that intersect. (b) j, , and are distinct points that are collinear. (c) another name for plane z is plane . (d) m, , , and are distinct points that are coplanar.

Explanation:

Step1: Identify intersecting lines

Lines $\overleftrightarrow{NK}$ and $\overleftrightarrow{MK}$ intersect at point $K$.

Step2: Identify collinear points

Points $J$, $K$, and $L$ lie on the same straight - line.

Step3: Name the plane

A plane can be named by three non - collinear points in the plane. Plane $Z$ can be named plane $HNK$ (using points $H$, $N$, and $K$ which are in the plane).

Step4: Identify coplanar points

Points $M$, $N$, $K$, and $H$ all lie in plane $Z$, so they are coplanar.

Answer:

(a) $\overleftrightarrow{MK}$
(b) $K$, $L$
(c) $HNK$
(d) $N$, $K$, $H$