# Geometry: Points, Lines, and Planes

##### Junior Member
Refer to Figure 1. Figure 1

Name the plane containing lines m and p.

#### pka

##### Elite Member
Refer to Figure 1. Figure 1
Name the plane containing lines m and p.
Unless you failed to post the complete and exact wording of the question, there is absolutely no reason to think that lines $$\displaystyle m~\&~p$$ are in the same plane.

##### Junior Member
Unless you failed to post the complete and exact wording of the question, there is absolutely no reason to think that lines $$\displaystyle m~\&~p$$ are in the same plane.
No, that is the exact question.

##### Junior Member
Note: A plane is a flat surface made up of points. A plane is named by a capital script letter or by the letters naming three noncollinear points.

#### pka

##### Elite Member
No, that is the exact question.
Then it is a mistake, misprint, or just incompetence, because there is nothing given that requires $$\displaystyle m~\&~p$$ to belong to a plane.
It is true that $$\displaystyle m~\&~n$$ must be in the same plane.

##### Junior Member
Then it is a mistake, misprint, or just incompetence, because there is nothing given that requires $$\displaystyle m~\&~p$$ to belong to a plane.
It is true that $$\displaystyle m~\&~n$$ must be in the same plane.
Yes, it didn’t look right to me.

##### Junior Member
I even chose n and it was incorrect.

#### pka

##### Elite Member
Note: A plane is a flat surface made up of points. A plane is named by a capital script letter or by the letters naming three noncollinear points.
If you are now saying that all points are in plane $$\displaystyle \bf K$$ then it is truly a nonsense question.

##### Junior Member
I have no idea how to go about this question. Would points GFC work?

#### pka

##### Elite Member
I have no idea how to go about this question. Would points GFC work?
It appears that you are now saying that plane $$\displaystyle \bf K$$ in figure I contains all the given points.
If any plane contains two points of a line then that plane contains all of the line.
Therefore because $$\displaystyle \{B,D, G, F\}\subset\bf K$$ then $$\displaystyle m\cup p\subset\bf K$$.

##### Junior Member
Plane K is not an option.

#### Dr.Peterson

##### Elite Member
It's important that you tell us the entire problem as given to you; that includes the list of options, if it is a multiple-choice problem.

I found this, contains the same question (#5): http://teachers.stjohns.k12.fl.us/jasper-k/files/2016/02/unit7-quiz-review-with-solutions.pdf

It's clear that all the points lie in the plane of the paper, so they are merely asking for a name of that plane.

K would be the best answer to give; but they are really asking, "Which of these is a valid name for the plane containing lines m and p?" There are many valid names; but the only one of the choices that works is GFC, since only that is a set of three non-collinear points in the plane (as you said in post #4).

This is an example of why I really dislike multiple-choice problems, unless they are written really well. Making it multiple-choice changes the very meaning of the problem! But this is also why you really must always include the choices when you ask about such a problem.

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