Question

in the figure, points r, x, y, and z lie in plane p. points q and s do not lie in plane p. use the figure to choose another name for plane p. choose another name for plane p: o xyz o tzr o srx o sxy o syz

Explanation:

Step1: Recall plane - naming rule

A plane can be named by any three non - collinear points that lie on the plane.

Step2: Analyze given points

Points \(R\), \(X\), \(Y\), and \(Z\) lie on plane \(P\). Points \(Q\) and \(S\) do not lie on plane \(P\).

Step3: Check options

Option A: \(XYZ\): Since \(X\), \(Y\), and \(Z\) are non - collinear points on plane \(P\), this can be a name for the plane.
Option B: \(TZR\): Point \(T\) is not on plane \(P\), so this is incorrect.
Option C: \(SRX\): Point \(S\) is not on plane \(P\), so this is incorrect.
Option D: \(SXY\): Point \(S\) is not on plane \(P\), so this is incorrect.
Option E: \(SYZ\): Point \(S\) is not on plane \(P\), so this is incorrect.

Answer:

A. \(XYZ\)