Use the following diagram and information to answer the question. Given: ABCD is a parallelogram. △ABC≅△BCD
Julie wants to prove that ABCD is a square. She uses properties of congruent triangles and parallelograms to prove that ∠A≅∠B≅∠C≅∠D. She must also show that AB≅BC≅CD≅DA to prove ABCD is a square.
What else must Julie do to prove ABCD is a square?
a) Julie can use properties of congruent triangles to show that AB¯≅CD and AD≅BC. Then she can use the definition of parallelogram to show AB≅BC.
b) Julie can use properties of congruent triangles to show that AB≅BC and BC≅CD. Then she can show BC≅AD because opposite sides of a parallelogram are congruent.
c) Julie can use the definition of a parallelogram to show that AB≅BC and BC≅CD. Then she can use the definition of congruent triangles to show BC≅AD.
d)Julie can use properties of congruent triangles to show that AC≅BD. Then she can use the definition of parallelogram to show BC≅AD.