Question

which of the following statements is true?
point e, f and g are coplanar
line hg and point d are on different planes
segment cd and point f are coplanar
segment ad and line hg are coplanar

Explanation:

Coplanar points and lines lie on the same plane. Analyze each option based on this concept. Points that are on the same flat - surface (plane) are coplanar.

1. If points E, F, and G are on the same plane, they are coplanar.
2. If line HG and point D are on different flat - surfaces (planes), they are not coplanar.
3. If segment CD and point F are on different planes, they are not coplanar.
4. If segment AD and line HG are on different planes, they are not coplanar.

Answer:

The answer depends on the actual position of the points and lines in the figure. If points E, F, and G are on the same plane, the statement "Point E, F and G are coplanar" is true. Without seeing the full context of the figure clearly, we cannot definitively choose one option. But if we assume a standard two - plane intersection scenario as shown in a typical geometry problem, if E, F, G are on the same plane, that option is correct.