Complete the folowing: If two points lie in a plane, the line containing them____?

Question

A) intersects the plane once B) lies in the same plane C) is skew or D) does not intersect the plane

Answer 1

B

Answer 2

E. Do your own homework.

OR

Just for the fun of it, let's show this kid WHY the answer is "B", shall we?

If you take a peice of notebook paper, and you put two skittles on it, you have your "two points lying in a plane", with the paper being the plane and the skittles being the points. Take a twizzler and connect the two skittles with the twizzler "line". The twizzler is still on the paper, yes? And none of the twizzler is outside of the paper, no?

If the line was anything other than flat along the same plane, it would not be able to contain the two points that are on the plane. It would mean that the "twizzler" would be coming up or down onto the notebook paper at an angle. At any other angle, other than lying flat on the paper, the twizzler could only hit one of the two points.

To disprove "A", all you have to do is make it so the twizzler only touches the paper at one end. A line is straight, so the only way to connect the two skittles lying flat on a piece of notebook paper with one twizzler which is NOT lying directly along the paper, you would have to bend the twizzler, to make a kind of arch to touch both ends of the twizzler to the skittles. Therefore, it's no longer a line. Therefore, "A" is not possible.

To disprove "C", look up what "skew" is. I can't remember. I'm doing good remembering this much of this useless math twelve years after having taken it.

To disprove "D", try to make the twizzler touch the two skittles without getting anywhere near the paper. Can't happen.

Hope you can follow my day-after-Halloween geometry lessons. :-) Math is better when you can nibble on it when you're done.

Happy studying.

Answer 3

b