Question

Write a paragraph or two column proof.

Given: ABCD is a dart with segment AB = segment AD
and segment BC= segment DC.
Prove: Angle B = Angle D

Answer 1

AB = AD and BC = DC are given. Furthermore, we can see that AC = AC by the reflexive property. We have three pairs of congruent corresponding sides, which allows us to use the SSS congruence theorem. From that, we would use CPCTC to conclude that angle B is congruent to angle D.

CPCTC = corresponding parts of congruent triangles are congruent.