Question

what are two other ways to name plane y?
select all that apply.
a. plane zgz
b. plane \\( \overleftrightarrow { zg } \\)
c. plane jzk
d. plane zkg
e. plane jzg
f. plane m

Explanation:

Step1: Recall the rules for naming a plane

A plane can be named by three non - collinear points on the plane or by a single letter (in this case, the letter \(m\) is a line, so that's incorrect).

• Option A: “plane ZGZ” is incorrect because it repeats the point \(Z\) and is not a valid way (three non - collinear points are needed).
• Option B: “plane \(\overleftrightarrow{ZG}\)” is incorrect because \(\overleftrightarrow{ZG}\) is a line, not a plane naming convention.
• Option C: “plane JZK” is incorrect because points \(J\), \(Z\), and \(K\) are collinear (they lie on the same line \(q\)).
• Option D: “plane ZKG” is correct as \(Z\), \(K\), and \(G\) are non - collinear points on the plane \(Y\).
• Option E: “plane JZG” is correct as \(J\), \(Z\), and \(G\) are non - collinear points on the plane \(Y\).
• Option F: “plane \(m\)” is incorrect because \(m\) is a line (a straight, one - dimensional figure with no thickness that extends infinitely in both directions).

Answer:

D. plane ZKG, E. plane JZG