Question

name the plane that is highlighted in the diagram below.
diagram of a rectangular prism with vertices labeled q, r, s, t, u, v, w, x
answer attempt 1 out of 3
plane
submit answer

Explanation:

Step1: Identify points on the highlighted plane

The highlighted plane contains points V, R, S, and W (or other combinations, but typically three non - collinear points define a plane. Looking at the rectangular prism, the highlighted plane has vertices V, R, S, W).

Step2: Name the plane using three non - collinear points

A plane can be named by three non - collinear points on it. Taking points V, R, S (or V, W, S or R, S, W etc.). A common way is to use three letters, for example, Plane VRS, Plane VWS, Plane RSW, or Plane VRSW (but usually three non - collinear points). Another way is to use the vertices of the face. The highlighted face is a rectangle with vertices V, R, S, W. So we can name the plane as Plane VRSW (or using three points like Plane VRS, Plane VWS, etc. A more standard way is to use three non - collinear points, for example, Plane V, R, S or Plane W, R, S or Plane V, W, S). But the most appropriate is to use the four - point name or three - point name. Looking at the diagram, the highlighted plane includes points V, R, S, W. So we can name it Plane VRSW (or Plane RSWV, etc.). Alternatively, using three non - collinear points, say V, R, S: Plane VRS. But a more accurate way is to see that the plane is defined by points V, R, S, W.

Answer:

Plane VRSW (or Plane RSWV, Plane VWS R, etc. Another correct answer could be Plane V, R, S or Plane W, R, S, but the most precise with the given vertices is Plane VRSW)