Planes x and y and points c, d, e, and f are shown.

planes x and y and points c, d, e, and f are shown.

which statement is true about the points and planes?

the line that can be drawn through points c and d is contained in plane y.
the line that can be drawn through points d and e is contained in plane y.
the only point that can lie in plane x is point f.
the only points that can lie in plane y are points d and e.

 The correct option is

(B) The line that can be drawn through points D and E is contained in plane Y.

Step-by-step explanation:  The planes X and Y and points C, D, E and F are shown in the given figure.

We are to select the TRUE statement about the points and the planes.

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is

The line that can be drawn through points D and E is contained in plane Y.

Option (B) is CORRECT.

nope

step-by-step explanation: