Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11. name a point that is coplanar with a, b, and e. 12. name the top pl…

Question

  1. name a point that is coplanar with a, b, and e.
  2. name the top plane.
  3. name the front plane.
  4. what is the intersection of the top and front planes?

Explanation:

Response
Question 11
Brief Explanations

Points A, B, E are part of the left - front - top - like face. Point F is also on the same plane as A, B, E (since in a cube, the plane containing A, B, E, F is a face). Also, point J is on the bottom face related to E, but F is coplanar with A, B, E. Another way: In the cube, the plane formed by A, B, E, F (quadrilateral ABEF) is a plane, so F is coplanar with A, B, E.

Brief Explanations

The top plane of the cube (from the diagram) is the plane containing points A, B, C, D. So the top plane can be named as plane ABCD (or plane ABDC, etc., as long as it's the top face with vertices A, B, C, D).

Brief Explanations

The front plane of the cube (from the diagram) is the plane containing points A, B, F, E. So the front plane can be named as plane ABEF (or plane ABFE, plane BEFA, plane EABF - any combination of the four vertices of the front face).

Answer:

F (or other valid points like maybe if we consider the plane, but F is a common one. Also, point J is on EH, but ABEF is a plane, so F is a good candidate. )

Question 12