1) Suppose we are given triangleABC and a point D in the interior of this triangle, and let E be any point in the same plane except D. What general conclusion about the intersection of triangleABC and [DE seems to be true?

[DE = ray

2) Let angleABC be given. Prove that there is a point D on the same plane such that D and A lie on opposite sides of BC, but d(A,B) = d(D,B) and

l angleABC l = l angleDBC l. (hint: this uses both the Ruler and Protractor Postulates).

Thankkk youu so much in advance.