Question

Use the diagram to determine whether you can assume the statement.

Points A,B, C, and E are coplanar.
Yes or no

Answer 1

No, points A, B, C, and E are not coplanar because they are not lying on the same line.

In Mathematics and Geometry, collinear points are three or more points that all lie on the same straight line (single line). This ultimately implies that, two (2) planes intersect at a line.

In Mathematics and Geometry, coplanar points refers to three or more points that all lie on the plane. This ultimately implies that, three or more points are considered as being coplanar points when they all lie on the same plane.

In this context, we can logically conclude that points A, B, C, and E are not coplanar points because they do not lie on the same straight line or plane.

Answer 2

Yes

Explanation:

Mathematically, when points are co-planar, what it means is that they exist in the same plane

Now, looking at the 4 points, we can see that they exist on the same x-like plane that is both perpendicular to like H through C

Hence, we can simply opine that these points exist in the same plane and are essentially co-planar