Question

name the plane that is highlighted in the diagram below.

Explanation:

Step1: Identify points on the plane

The highlighted plane contains points F, J, M, and I.

Step2: Name the plane using three non - collinear points

We can name the plane using three of these points, for example, Plane FJMI (or any combination of three non - collinear points on the plane like Plane FIM, Plane JMI, etc. But a common way is to use four points or three non - collinear points. The points on the highlighted plane are F, J, M, I. So one valid name is Plane FJMI (or Plane FIM, Plane JMI, Plane FJM etc. but using four points or three non - collinear ones). The standard way is to use three non - collinear points or all the points. Looking at the diagram, the plane has vertices F, J, M, I. So we can name it Plane FJMI (or other combinations like Plane FIM, but the most accurate with the given points is using F, J, M, I or three of them. Let's use F, J, M: Plane FJM, but actually the correct name should include the points on the plane. The highlighted plane is the one with points F, J, M, I. So the plane can be named Plane FJMI (or Plane FIM, Plane JMI, etc. But the standard is to use three non - collinear points. Let's check the points: F, J, M are non - collinear. So Plane FJM, but actually in the diagram, the plane is the left - most face with points F, J, M, I. So the correct name is Plane FJMI (or Plane FIM, Plane JMI, Plane FJM). But the most appropriate is using the four points or three. Let's confirm: in a rectangular prism, the plane with vertices F, J, M, I is a face. So the name can be Plane FJMI (or Plane FIM, Plane JMI, Plane FJM). The standard notation for a plane is using three non - collinear points or a set of points that define it. So the plane is Plane FJMI (or other valid combinations, but the key is the points on the highlighted plane are F, J, M, I).

Answer:

Plane FJMI (or Plane FIM, Plane JMI, Plane FJM - any valid combination of three or four non - collinear points on the highlighted plane. The most accurate with the given diagram is Plane FJMI)