Points C, D, and G lie on plane X. Points E and F lie on plane Y. Which statements are true? Select three options. There are exactly two planes that contain points A, B, and F. There is exactly one plane that contains points E, F, and B. The line that can be drawn through points C and G would lie in plane X. The line that can be drawn through points E and F would lie in plane Y. The only points that can lie on plane Y are points E and F.

A plane can be defined by a line and a point outside of it, and a line is defined by two points, so always that we have 3 non-collinear points, we can define a plane.

Now we should analyze each statement and see which one is true and which one is false.

a) There are exactly two planes that contain points A, B, and F.

If these points are collinear, they can't make a plane.
If these points are not collinear, they define a plane.

These are the two options, we can't make two planes with them, so this is false.

b) There is exactly one plane that contains points E, F, and B.

With the same reasoning than before, this is true. (assuming the points are not collinear)

c) The line that can be drawn through points C and G would lie in plane X.

Note that bot points C and G lie on plane X, thus the line that connects them also should lie on the same plane, this is true.

e) The line that can be drawn through points E and F would lie in plane Y.

Exact same reasoning as above, this is also true.

d) The only points that can lie on plane Y are points E and F.

False, infinite points can lie on a plane.

If you want to learn more, you can read:

https://brainly.com/question/14047391