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You are not alone in your confusion. I taught geometry for many years and the distinction between the 3 was always tricky, because they are all three connected!
im confused about the top 2, and it gets much more complciated once drawn onto a plane and interescting with other lines.. How do you define a line then in writing? Can a line also be a line segment? Because the top two drawings look exactly the same |dw:1440036283174:dw|
Lines extend without end in opposite directions. A line segment is just a small part of a line...it has a start and a stop.
yeah, but in the picture can't a line and line segment be determined by that picture? It looks the same
ok, so going back to the pictures you posted, they want you to identify the green dotted line?
ok so picture 1 shows a clear start and then it extends forever in 1 direction only. Do you know what that's called?
Yes, a ray. Thought it has two points, does that means theres 2 rays?
nope only one. Just because there are 2 points doesn't mean it stops after the 2nd point. You'll notice there's an arrow that tells you it keeps going in that direction.
I take that back...technically there could be 2 rays, but they both go in the same direction.
yeah, that's what i meant.
it's still a ray though
im still having troubles understanding the top two pictures u drew me, looking back at the orginal picture, it is easier to understand.
ok, so I drew a line in the top picture. Lines are straight paths that extend forever in opposite directions, so if you have a straight path with an arrow at each end, it's a line.
Lines are named for any 2 points on the line.
so wouldn't the second picture be a line as well?
your second picture or mine?
technically yes it could be. What I was trying to show you is that a line segment is just a part of a bigger line...it's in the name line segment=line piece :)
what makes a line segment different from a line is that it has a clear start and a clear stop.
I hope I haven't confused you even more! Teaching online is way harder than teaching in person.
could you show me some more examples of a line segment?
could you show an example with 3 points on a line?
This has 3 line segments....from A to B is a line segment, B to C is a line segment, and A to C is a line segment. If I had added arrows, it could also be a line.
would AB define the line? Does it matter how far the points are?
if there were arrows on each end, the line could go by any of the following names: line AB, line BC, or line AC....you can always flip the letters for lines and line segments as well. so line AB and line BA are the same line.