Question

If line FG and line GH lie in plane P. Which of the following postulates can be used to show that line FH lies in plane P

A. If two planes intersect, then their intersection is a line.
B. A plane contains at least three points not on the same line.
C. Through any two point, there is exactly one line.
D. If two points lie in a plane, then the entire line containing those points lies in that plane.

Answer 1

Given:

Line FG and line GH lie in plane P.

To find:

The postulates that can be used to show that line FH lies in plane P.

Solution:

Ling FG and line GH lie in plane P. It means, all the points on the lines FG and GH lie on the plane P.

So, points F, G and H are the three points lie in the plane P.

We know that, if two points lie in a plane, then the entire line containing those points lies in that plane.

Since, F and H are in plane P, therefore, the line FH containing the points F and H, lies in plane P.

Hence, the correct option is D.