A geometric construction (that can easily be done via compass-and-straightedge) is dynamically being illustrated below. Which construction is it? Can you explain why this method of construction works using the format of a paragraph or 2-column proof?
[b]Construction of an Angle Bisector! [br][/b][br][color=#1e84cc][b]Proof Hint:[/b][/color] Think "congruent triangles"!