Given a segment with endpoints a and b, what figure can you construct using the steps below?
step 1: draw a ray with endpoint c.
step 2. open the compass to the length of ab
step 3: with the same compass setting, put the compass point on point c. draw and arc that intersects the ray. label the point of intersection d.

a. a perpendicular bisector
b. a congruent segment
c. an angle bisector
d. a congruent angle