Construction 1.4 Bisect a given angle $\angle A$.
a.  Construct a circle with center at  A.
b. Find the points of intersection between the circle and these two lines.  Let us call these two points  $B$ and $C$.
Before we continue, let us hide the circle we just constructed.
c. . We create two circles centered at $B$ and $C$ with radius $m( \overline{AB})$ and  $m( \overline{AC})$.
d. Find the points of intersection of these two circles.
e. Use these two points to to contruct the line through $A$.
f. Use the Show/Hide Object Tool to hide the circles. 
Why is this a angle bisector?

A = (-0.5120106109324886, -0.2475812829261934)
B = (3.142187943479023, 1.2140981388384098)
a = Ray(A, B)
C = (3.6850974429915895, -0.47727376348920214)
b = Ray(A, C)