https://file.aiquickdraw.com/mathbot/file/17265252462461itiyd6z.jpg

In the image, you're asked to determine which set of points are **coplanar** from a 3D cube.

Coplanar points are points that lie on the same geometric plane. Let's analyze each option:

1. **AHBC**: Points A, H, B, and C do not lie on the same face of the cube. Hence, they are not coplanar.
   
2. **DCBE**: Points D, C, B, and E all lie on the top face of the cube. These points are coplanar.

3. **AHCD**: Points A, H, C, and D are not on the same face, so they are not coplanar.

4. **EDCA**: Points E, D, C, and A form a diagonal plane that cuts through the cube, but they are not coplanar on any cube face.

The correct answer is **DCBE**.

Would you like further details on the concept of coplanarity? Here are some related questions:

1. How do you define a geometric plane in 3D space?
2. Can three points in space ever be non-coplanar?
3. How can you determine if four points in space are coplanar mathematically?
4. What is the difference between collinear and coplanar points?
5. How does the shape of a cube help in visualizing planes?

**Tip**: In a cube, each face represents a plane, and any four points on a face will always be coplanar.

Which of the following set of points are coplanar? Options: AHBC, DCBE, AHCD, EDCA.

Learn how to identify coplanar points in a 3D cube. This problem tests understanding of geometry concepts like coplanarity, and is suitable for students in Grades 9-12. Explore key concepts in 3D shapes and spatial reasoning.

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