2.8. sam and theo's math teacher asked the class to use a compass and
straightedge to construct a line perpendicular to line / through a point q located
above the line.
sam and theo each began their constructions by drawing arcs from a point p on the
line. their work is shown below.
sam's work
theo's work
after inspecting their figures, the teacher advised theo to continue with the
construction. however, the teacher told sam that he would have to start over
because his construction had a serious flaw and could not be completed.
what did sam do that makes it impossible for him to correctly complete the
construction?
sam drew two arcs from point p rather than a single arc.
sam drew an arc that is entirely on the left side of point q.
sam drew point p on the left side of the line instead of the right side.