Which postulate relates to the following scenario?

Question

A wedding videographer uses a tripod to hold the video camera.


1.Through any two points, there is exactly one line.

2.A line contains at least two distinct points.

3.Through any three noncollinear points, there is exactly one plane.

4.A plane contains at least three noncollinear points.

Answer 1

Using three legs stabilises the tripod because the feet are contained in only one plane (the ground). So (3) is the correct answer.

(If one leg of the tripod is not extended, for example, the line containing the two remaining feet is contained in an infinite number of planes, and the tripod can swing around the axis of this line into the additional planes, so it is not stable.)

Answer 2

I would go with 3 seeing the ground as the plane. I know it is not 1 or 2 because there is more than 1 line involved. This is a 3-D situation.

Answer 3

3 and 4 because the camera is standing above the ground. But the three "feet" are touching the ground making the Points. The ground would represent the Plane spoken.

Answer 4

3.

The three points are the ends of the tripod legs and the plane is the floor.

Answer 5

well, a tripod has 3 legs, so that should narrow it down a bit