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.