Some steps in a geometric construction done by Lohan are shown below. The arcs at A and B are drawn from points L and M. What will be the result of Lohan’s construction? Any segment drawn on points A and B will be parallel to segment LM. Lengths of segment LM and a segment drawn from A to B will always be the same. Points A and B will be closer to point L than to point M. A segment drawn from A to B will bisect segment LM at 90°.

Question

lexipoo1998 · Answer

I should of probably written that out more clearly. 
the question is 
Some steps in a geometric construction done by Lohan are shown below. The arcs at A and B are drawn from points L and M. What will be the result of Lohan’s construction? 
The answer choices are 
Any segment drawn on points A and B will be parallel to segment LM.
 Lengths of segment LM and a segment drawn from A to B will always be the same. Points A and B will be closer to point L than to point M.
 A segment drawn from A to B will bisect segment LM at 90°.

phi · Answer

A picture is worth a thousand words...  (or keep typing...)

lexipoo1998 · Answer

http://assets.openstudy.com/updates/attachments/4ff4df77e4b01c7be8c81e50-nykole-1341448083040-hm.jpg copy and paste that in your bar thing and the picture sure show up

phi · Answer

if they did not change the opening of the compass, then the distances LA, LB, MA and MB are all the same. you have formed a rhombus. Lines AB and LM are the diagonals of a rhombus. what do you know about the diagonals of a rhombus ? See http://www.coolmath.com/reference/rhombus.html and look for properties of diagonals

lexipoo1998 · Answer

But how do i not know he is trying to make perpendicualr lines. I thought it was the last choice because he could make perpendicular lines, but at the same time your right he could be making a rhombus so the answer would probably no longer be the last one. thats why i dont no which one it is

phi · Answer

did you check the properties of the diagonals of a rhombus ?

lexipoo1998 · Answer

yes i did. so its the second choice right?

phi · Answer

The intersection of the diagonals of a rhombus form 90 degree (right) angles.  This means that they are perpendicular.
The diagonals of a rhombus bisect each other.  This means that they cut each other in half.

lexipoo1998 · Answer

Wait so then it was the last answer choice?