A circle's radius is 2m and its diameter is 4m if the lines do NOT intersect, then they are parrallel. How would i show that each conditional is false by a counter example?
2006-09-14 16:47:24 · 8 answers · asked by crazybrunette1991 2 in Science & Mathematics ➔ Mathematics
Your question is a bit confusing. I think there should be a period after 4m? You said "each conditional", but there is only one.
Anyways, a conditional statement is false only when the premise is true and the conclusion is false.
A counterexample would be an example where the radius and diameter do not intersect and are not parrallel.
You won't be able to find a counterexample since a line representing the radius of a circle will always intersect the diameter at the center of the circle.
Therefore the premise is true and the statement is always true.
2006-09-14 17:08:09 · answer #1 · answered by Demiurge42 7 · 0⤊ 0⤋
They cannot be parrallel as the radius and diameter runs through the centre of the circle.
2006-09-14 16:57:05 · answer #2 · answered by Anonymous · 0⤊ 0⤋
That's impossible... the radius and the diameter have to intersect, or at least touch. Maybe that's what they mean. They can be perpindicular. That's a stupid question for homework. Homework should be banned. I'm working on my Algebra as I type.
2006-09-14 16:55:46 · answer #3 · answered by Anonymous · 0⤊ 0⤋
If two tangent lines to a circle are parallel then the line connecting the tangent points would for 2 90-degree angles with both lines and it would also go throigh the center fo the circle.
Also if two tangent lines to a circle are parallel the distance between them would be exactly the circles diameter.
I hope these 'theroems" are helpful...
2006-09-14 16:58:41 · answer #4 · answered by linen 2 · 0⤊ 0⤋
The radius is half of the diameter, so they do not intersect and they are not parallel because they are the same line.
2006-09-14 16:55:25 · answer #5 · answered by TeacherLady 6 · 0⤊ 0⤋
which "lines" are you referring to? the diameter and the radius? or are there lines inside the circle?
2006-09-14 16:52:26 · answer #6 · answered by bpc299 2 · 0⤊ 0⤋
theres no way im doing ur homework for u
2006-09-14 16:55:09 · answer #7 · answered by yep ive left 3 · 0⤊ 0⤋
It's hard to understand this question.
2006-09-14 17:00:00 · answer #8 · answered by Steiner 7 · 0⤊ 0⤋