Question

(a) point p and line are coplanar. (b) suppose line pn is drawn on the figure. then pn and are distinct lines that intersect. (c) another name for plane z is plane. (d) and j are distinct points that are collinear.

Explanation:

Step1: Analyze part (a)

Coplanar means lying on the same plane. Point \(P\) and line \(LH\) (or \(LK\), \(LJ\), \(LH\), \(JK\), \(JH\), \(KH\)) are on the same plane \(Z\).

Step2: Analyze part (b)

If line \(PN\) is drawn, and we want a line that intersects \(PN\), line \(LH\) (or \(LK\), \(LJ\), \(JK\), \(JH\), \(KH\)) intersects \(PN\) as they are in different directions in the space - like figure.

Step3: Analyze part (c)

Another name for plane \(Z\) can be plane \(JHK\) (since three non - collinear points \(J\), \(H\), \(K\) define a plane and they are on plane \(Z\))

Step4: Analyze part (d)

Collinear points lie on the same straight line. Points \(J\) and \(H\) (or \(J\) and \(K\), \(H\) and \(K\)) are collinear as they lie on the same line segment.

Answer:

(a) \(LH\) (or \(LK\), \(LJ\), \(JK\), \(JH\), \(KH\)); (b) \(LH\) (or \(LK\), \(LJ\), \(JK\), \(JH\), \(KH\)); (c) \(JHK\); (d) \(J\) and \(H\) (or \(J\) and \(K\), \(H\) and \(K\))