Can someone help me with this Perpendicular Lines problem? This is so confusing.

- RaquelKelli01

Can someone help me with this Perpendicular Lines problem? This is so confusing.

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- RaquelKelli01

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- jim_thompson5910

I'm guessing they want you to use a compass and straight-edge?

- RaquelKelli01

Yes.

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## More answers

- RaquelKelli01

I know how to use it, but this triangle is killing me.

- jim_thompson5910

let's say we have this at first
|dw:1443494963309:dw|

- jim_thompson5910

how would we draw a line through C such that it is perpendicular to AB?

- RaquelKelli01

I'd place the compass point below point C and make the arcs on each side, and then above C would make another arc from the other two arcs, then draw a line through the arc with a ruler?..if that even makes sense. .-. I'm sorry.

- jim_thompson5910

good, that's the same as drawing a circle with C at its center and making sure this circle crosses the line segment AB at 2 spots
something like this maybe
|dw:1443495436902:dw|

- jim_thompson5910

mark the two intersections as D and E
|dw:1443495476253:dw|

- jim_thompson5910

let's erase the circle to make things a bit cleaner
|dw:1443495536840:dw|

- jim_thompson5910

the idea is to construct the perpendicular bisector of segment DE
that perpendicular bisector of segment DE will go through C and be perpendicular to AB

- RaquelKelli01

That makes sense, but I still don't understand this triangle.

- jim_thompson5910

well if we connect A with C and B with C, we get this triangle
|dw:1443495742548:dw|

- jim_thompson5910

the same idea will apply but now we just have 2 extra segments

- RaquelKelli01

So I'll do the same at the other corners?

- jim_thompson5910

yes, imagine flipping the triangle so that each side is laying horizontally to do each perpendicular line

- RaquelKelli01

So, I'd draw a line down the middle and make the arcs on the triangle corners just like I would with a straight line?

- jim_thompson5910

|dw:1443496042024:dw|

- jim_thompson5910

extend out BC
|dw:1443496100352:dw|

- RaquelKelli01

Quick question, why does every tutorial I've seen have a perfect looking triangle and mine is all uneven?

- jim_thompson5910

draw a circle with center A
|dw:1443496133357:dw|

- jim_thompson5910

they are most likely using some kind of software to help draw clean lines

- jim_thompson5910

I used the line tool on here

- jim_thompson5910

mark D and E
|dw:1443496190635:dw|

- jim_thompson5910

|dw:1443496208995:dw|

- jim_thompson5910

dra w
|dw:1443496220712:dw|

- jim_thompson5910

*draw arcs centered at D and E

- jim_thompson5910

then draw a straight line through those arc intersection points
|dw:1443496316935:dw|

- jim_thompson5910

you'll repeat these steps for AB and AC
imagine placing those segments along the horizontal portion

- RaquelKelli01

So I'm going to do that for every point on the triangle?

- jim_thompson5910

correct

- RaquelKelli01

Okay, thank you for all your help!!!

- jim_thompson5910

no problem

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