2. given a segment with endpoints a and b, what figure can you construct using the steps below?
step 1: put the compass point on a and draw a long arc. be sure the opening is greater than one-half a b.
step 2: with the compass on the same setting, put the compass point on b and draw another long arc. label the points where the two arcs meet as x and y.
step 3: draw modifying above x y with two-way arrow. label the point of intersection of modifying above a b with bar and modifying above x y with two-way arrow as m, the midpoint of modifying above a b with bar.

(1 point)
a perpendicular bisector
a congruent segment
an angle bisector
a congruent angle