Question

Select the statement that best justifies the conclusion based on the given information. l is in plane M, x is on line l Conclusion: x is in plane M.

-A plane contains at least three points not all on the same line.
-If two points lie in a plane, then the line containing them lies in that plane.
-If a plane contains a line, it contains the points on the line.
-Exactly one plane contains a given line and a point not on the line.

Answer 1

If a plane contains a line, it contains the points on the line

Explanation:

Answer 2

If a plane contains a line, it contains the points on the line.

Explanation:

A plane is a flat and a two-dimensional surface which extends infinitely.

While a line is a straight one dimensional infinite figure that does not have any thickness.

Also, if a line lies in a plane then all points lying in the line also lie on the plane.

Hence, the statement that best justifies the conclusion based on the given information is,

If a plane contains a line, it contains the points on the line.