Asked by Isaac
Geometry
I did not get this question at all, if someone could help, I would appreciate it!
It says:
Reword Theorem 1-3 as two statements, one describing existence and the other describing uniqueness.
Theorem 1-3 says:
If two lines intersect, then exactly one plane contains the lines.
Earlier in the lesson it explained something about existence (there is at least one point of intersection) and uniqueness (no more than one such point exists) about Theorem 1-1, but I still couldn't put the two together. Can anyone help??? I need this homework turned in tomorrow, or it's late. Any help is appreciated! THANKS!!!
I did not get this question at all, if someone could help, I would appreciate it!
It says:
Reword Theorem 1-3 as two statements, one describing existence and the other describing uniqueness.
Theorem 1-3 says:
If two lines intersect, then exactly one plane contains the lines.
Earlier in the lesson it explained something about existence (there is at least one point of intersection) and uniqueness (no more than one such point exists) about Theorem 1-1, but I still couldn't put the two together. Can anyone help??? I need this homework turned in tomorrow, or it's late. Any help is appreciated! THANKS!!!
Answers
Answered by
oobleck
you may have already proven that 3 points determine a plane.
If two lines intersect, then pick the point of intersection and two other points, one on each line. Those 3 points determine a plane.
google can provide you with other more rigorous proofs.
If two lines intersect, then pick the point of intersection and two other points, one on each line. Those 3 points determine a plane.
google can provide you with other more rigorous proofs.
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