Question

Give another name for plane R

Answer 1

You need 3 noncollinear points to define a plane. To be noncollinear, it means to not fall on the same line.

Points S, Q, and N are inside of plane R. In other words, they appear to lie on the flat sheet of paper that composes the plane. So we can label this plane as "plane SQN". The order of the letters does not matter. We can pick any three points that are inside this plane as long as they do not fall on the same line.

Note: points Q, N, and O appear to fall on the same line (though it's hard to confirm), so it might be a bad choice to pick these three letters.

Answer 2

The another names of plane R are plane OUQ, OUS, OUN, SQN, SQU, SQO etc (but not OQN).

Explanation:

A name of plane can be defined by any 3 non-collinear points which are lie on the plane. 3 non-collinear points means those points which are not fall on the same line.

We can choose any three points that are inside the plane R as long as they do not fall on the same line. The order of the letters does not matter.

We can not choose O, N and Q because these points lie on the same line

Therefore the another names of plane R are plane OUQ, OUS, OUN, SQN, SQU, SQO etc (but not OQN).