For #11, make sure you answer all parts of the question. 11) The converse of an “if-then” statement reverses the “if” and “then” parts. The converse of a true “if-then” statement may or may not be true.

Write the converse of each true statement below and tell whether it is true or false. If it is false, give a counterexample.

If a polygon is a parallelogram, then it has four sides.

If Gil lives in France, then he lives in Europe.

If a parallelogram has four congruent angles, then it is a rectangle.

If two circles have the same diameter, then they are congruent.

If Daphne has the flu, then she is ill.

Write a true “if-then” geometry statement for which the converse is true. Give the converse.

Write a true “if-then” geometry statement for which the converse is false. Give the converse. Prove the converse is false by giving a counterexample.