Part (a)
You are correct.
Line p can be named as "line RV" or "line AV" since these points are on line p. The order of the lettering doesn't matter.
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Part (b)
Pick any three non-collinear points in plane W. In other words, we pick three points in the plane that do not fall on the same line.
The following points are located in this plane: S, R, Q, T, Z
Here are some possible names:
Plane STR
Plane SZQ
Plane QTZ
Something like "Plane SRQ" isn't valid since those three points are on the same line. Infinitely many planes pass through these three points.
The ordering of the letters doesn't matter. For instance, "plane STR" is the same as "plane RTS".
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Part (c)
You are correct.
As mentioned in part (b) earlier, these points fall on the same straight line. Hence they are considered collinear.
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Part (d)
Pick any four points that reside in plane W.
You have this list to choose from: S, R, Q, T, Z
Let's say we pick the first four to write S, R, Q, T as the answer
These points are coplanar because they reside in the same plane. The non-coplanar points are A and V since they are outside the plane W.
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Part (e)
Technically there aren't any line segments shown. Instead the diagram shows lines. But we can focus on a subset of a particular line to form a segment.
For instance, line p has points A and V on it. Therefore we can form segment AV
The symbolic notation for this would be to write
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Part (f)
Answer: Ray RA and Ray RV
Reason:
A line is composed of opposite rays. For instance, a vertical line consists of a ray pointing north and a ray pointing south. The two rays are glued together at the endpoints.
For line p, we can glue together ray RA and ray RV to form this line. Unlike the other naming conventions, the order does matter. Something like "ray RV" is not the same as "ray VR". The first letter tells us the endpoint that doesn't go on forever.