Question

1. use the diagrams to the right to name the following.

a) the intersection of lines l and m.
b) another name for plane q.
c) are points d and e collinear or coplanar?
d) how many times do planes p and q intersect?

Explanation:

Step1: Identify intersection of lines

The point where lines \(l\) and \(m\) meet is point \(K\).

Step2: Rename plane

A plane can be named by three non - collinear points on it. Points \(I\), \(V\), \(G\) are on plane \(Q\), so another name for plane \(Q\) is plane \(IVG\).

Step3: Determine collinearity/coplanarity

Points \(D\) and \(E\) are on the same line \(l\), so they are collinear.

Step4: Find intersection of planes

Two distinct planes either are parallel or intersect in a line. Planes \(P\) and \(Q\) are parallel, so they intersect \(0\) times.

Answer:

a) \(K\)
b) plane \(IVG\)
c) collinear
d) \(0\)