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

Points D and E are both in Plane Y, so the line between them will be contained in Plane Y.

Answer Link

psm22415 psm22415 · Answer 2 · 2022-01-16T16:18:36+01:00

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

Given that

Planes X and Y and points C, D, E, and F are shown.

We have to determine

Which statement is true about the points and planes?

According to the question

To determine the correct statement about plane and points following all the steps given below.

1. Point D lies on plane Y and point C lies outside plane Y.

Therefore, the line from C to D doesn’t contain plane Y.

Option (a) is not correct.

2. Point D lies on plane Y and point E lies on plane Y.

Therefore, the line from E to D does contain plane Y.

Option (b) is correct.

3. The plane X contains infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is not correct.

4. There are infinitely many points in 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.

Hence, the correct option about the points and plane is the line that can be drawn through points D and E is contained in plane Y.

To know more about Plane and Points click the link given below.

https://brainly.com/question/1921243