Question

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

Explanation:

Step1: Recall coplanar points

Points in the same plane are coplanar. So (a) can be H, N, K, J (any 3 of these 4).

Step2: Name plane by points

A plane can be named by 3 non - collinear points in it. So (b) can be plane HNJ.

Step3: Find intersecting lines

Lines that meet at a point intersect. (c) could be a line that passes through a point on ML and another point not on ML.

Step4: Recall collinear points

Points on the same line are collinear. (d) could be J (assuming there is a line connecting J and K).

Answer:

(a) N, K, J
(b) HNJ
(c) (any line intersecting ML)
(d) J