"If a quadrilateral is a rectangle, then the quadrilateral has two pairs of parallel sides."

a. Is this statement true? Use the definition of a rectangle to explain your answer.

b. Explain what is meant by the converse of a conditional statement.

c. Write the converse of the original conditional statement above.

d. Is the converse of that statement true? Cite a counterexample to support your answer.

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?