Question

topic 1: points, lines & planes
use the diagram to the right to answer questions 1 - 4.

1. name two points collinear to point k.
2. give another name for line b.
3. name the intersection of line c and plane r.
4. name a point non - coplanar to plane r.

Explanation:

Step1: Find collinear points

Collinear points lie on the same line. Point \(K\) and points \(J\) and \(L\) lie on line \(b\).

Step2: Rename line \(b\)

A line can be named by two points on it. Line \(b\) can also be named as line \(JL\) (or \(LJ\), \(JK\), \(KJ\), \(LK\), \(KL\)).

Step3: Find intersection of line \(c\) and plane \(R\)

The intersection of a line and a plane is a point. Line \(c\) intersects plane \(R\) at point \(K\).

Step4: Find non - coplanar point

A non - coplanar point is not on the plane. Points \(M\) and \(N\) are not on plane \(R\).

Answer:

1. \(J\) and \(L\)
2. Line \(JL\) (or equivalent)
3. \(K\)
4. \(M\) (or \(N\))