Question

using triangle congruencies, prove why the construction of an angle bisector works. explain in paragraph or two column proof.

Answer 1

AB = AD
AC = AC
CD = CB
Therefore the triangles are congruent. By CPCTC, angles CAD and CAB are congruent.
That makes ray AC an angle bisector.

Answer 2

luxdarlin asked a question on the expression 5(x + 9). Try to find it and see my explanation of the distributive property as an area of a rectangle.