Consider the triangles that have been constructed in the picture below. D
B
A
AABC represents a randomly drawn triangle. ABCD is an isosceles triangle with sides
BC and BD congruent. Point D lies on the line passing through points A and B. Use this
information to answer the questions that follow.
a. As the construction shows, the measure of ZACD is greater than the measure of
ZBCD. Based on this information, create an inequality involving sides AD and AC
and explain your reasoning.