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 1/2 ab.
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 < -> xy. label the point intersection of - ab and < -> as m, the midpoint od -ab
a. a perpendicular bisector
b. a congruent segment
c. an angle bisector
d. a congruent angle