Math Problem Statement

Choose all correct ways to name the element of the diagram that is red.

Solution

The red element in the diagram is the plane labeled by the points A, C, and D. The correct way to name this red element would involve using the points that define the plane. Based on the visual, it is clear that:

  • Plane A refers to the red plane shown in the diagram, since point A is on the plane.
  • Plane BEC or Plane C are not correct because they don't encompass the full plane that includes points A, C, and D.

Thus, the correct option should be Plane A.

Would you like further details or have any other questions?

Here are five related questions for deeper understanding:

  1. How do we define a plane in 3-dimensional geometry?
  2. What are the key properties of a plane in geometry?
  3. How can we name a plane using three non-collinear points?
  4. How do we determine if a point lies on a specific plane?
  5. Can a plane be uniquely defined by any three points in space?

Tip: In geometry, a plane is typically named using three non-collinear points that lie on it.

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Math Problem Analysis

Mathematical Concepts

Plane Geometry
Naming Planes
3D Geometry

Formulas

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Theorems

In geometry, a plane is defined by three non-collinear points.

Suitable Grade Level

Grades 9-12