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- anonymous

Help please w/ line segments!
Okay, so this is the prompt:
Draw a line segment, and copy it to the right of the original segment. Explain your steps, and justify each step used.
Bisect the original line segment from problem one.
Draw an angle, and copy it to the right of the original angle. Explain your steps, and justify each step used.
Bisect the original angle from problem three.
All of this has already been done and I know for sure that it's correct, but I can't explain the steps. Could someone please give me some descriptions?

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- anonymous

- katieb

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- anonymous

|dw:1440548377319:dw|

- anonymous

|dw:1440548565897:dw|

- anonymous

^ These are sketched versions of the drawings - I just need explained steps to go with them. I don't have a straight edge (used a ruler instead) nor a compass.
@nincompoop @ganeshie8 @jim_thompson5910 @aaronq
If one of you aren't busy I would appreciate the help very much!

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- jim_thompson5910

ok so you have 2 problems: a) bisecting a line segment and b) bisecting an angle
I'm not sure why you drew line segment CD when it wasn't used at all. You bisected AB instead
anyways, the idea of bisecting a segment is that you use a compass and straight edge. You place the non-pencil part of the compass at point A. Then you place the pencil part at point B. The arc marks you see (highlighted in the drawing below) are formed when you draw a partial circle
|dw:1440549515493:dw|
Note: the pencil part does not have to be at point B. It could be somewhere between the halfway point and point B

- jim_thompson5910

the same applies for the other set of arcs as well. Just place the center of the circle at point B this time. Basically mirror everything
the arcs intersect at two points. Call them X and Y
the line segment XY that forms is the perpendicular bisector of AB

- jim_thompson5910

hopefully this is making sense?

- anonymous

Yes, thank you!

- jim_thompson5910

no problem

- jim_thompson5910

bisecting an angle
step 1) draw angle ABC
|dw:1440549804988:dw|

- jim_thompson5910

place the nonpencil end of the compass at point B
extend the compass to some point between A and B. It doesn't matter where
draw an arc and make sure the arc cuts through BC
|dw:1440549875106:dw|

- jim_thompson5910

the arc intersects at points D and E
|dw:1440549895387:dw|

- jim_thompson5910

next adjust the width of the compass to be as long as segment DE
ie place the nonpencil end at D and stretch the compass to point E
keep this width and draw arcs such that the circles are centered at point D and point E
|dw:1440549997327:dw|

- jim_thompson5910

my drawing is a bit off, but if you use an actual compass it should be far more accurate
|dw:1440550041532:dw|

- anonymous

Sorry, I had to go for a bit.
Thank you very much for your time, you helped a ton!

- jim_thompson5910

that's ok and you're welcome

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