Question

question 20 (5 points)
find another way to name the plane m shown in the figure.
plane pqy
plane pvq
plane rts
plane uvx

Explanation:

Step1: Recall plane - naming rules

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

Step2: Analyze each option

• For Plane PQY: Points P, Q, Y. Point Y is not on the same plane as the original plane \(M\) (it is inside the parallelogram - like figure but not on the plane surface defined by the intersection of lines).
• For Plane PVQ: Points P, V, Q. These three points are collinear (they lie on the same straight line), so they cannot be used to name a plane.
• For Plane RTS: Points R, T, S. These three points are collinear (they lie on the same straight line), so they cannot be used to name a plane.
• For Plane UVX: Points U, V, X. These three points are non - collinear and lie on the plane \(M\). A plane can also be named by two intersecting lines. The lines \(UV\) and \(VX\) (or the lines that pass through these points) intersect at \(V\) and are on the plane \(M\).

Answer:

Plane UVX