When you name a plane from a figure like the box in Problem 3, list the corner points in consecutive order. For example, plane ADCB and plane ABCD are also names for the plane on the top of the box. Plane ACBD is not.
Photographers use three-legged tripods to make sure that a camera is steady. The feet of the tripod all touch the floor at the same time. You can think of the feet as points and the floor as a plane. As long as the feet do not all lie in one line, they will lie in exactly one plane.
This illustrates Postulate 1-4.
Through any three noncollinear points there is exactly one plane.
Points Q, R, and S are noncollinear. Plane P is the only plane that contains them.
Use the figure below.
The plane on the bottom of the figure contains points N, P, and Q.
How can you find the plane?
Try to draw all the lines that contain two of the three given points. You will begin to see a plane form.
The plane that passes at a slant through the figure contains points J, M, and Q.