Yes, it is possible.
Yes, it is possible.
Yes, it is possible to trisect a line segment using a straightedge and compass. To do this, you can first draw two circles with the endpoints of the segment as centers and a radius equal to the length of the segment. By intersecting these circles and connecting the intersection points, you can create a series of segments that can be divided into three equal parts, effectively trisecting the original line segment.
False
false
"Trisecting" is cutting into three equal parts, not four. Trisecting is impossible. Cutting into four equal parts is possible though, and trivial once you know how to bisect an angle.
Yes, it is possible.
Yes, it is possible.
false
False
False
false
"Trisecting" is cutting into three equal parts, not four. Trisecting is impossible. Cutting into four equal parts is possible though, and trivial once you know how to bisect an angle.
Yes. it is possible to bisect a segment with a perpendicular segment. Follow the link to learn how to do it: http://www.mathopenref.com/constbisectline.html
You don't need advanced algebra to prove that it is impossible to trisect a line segment using only a straight edge and a compass: anyone knows that you will also need a pencil! And one you have that then there are plenty of easy ways to do it.
The classical problem of angle trisection cannot be solved. If it were possible, it would provide the solution to a cubic equation. (-but it isn't and it won't!)
Yes
Yes and they will intersect at right angles