Converses and Biconditional Definitions Worksheet with Answer Key

What's on the worksheet

1. Name each definition cited and say whether it runs forward or backward.
2. Decide whether Grace's 5 m and 12 m measurements give a right angle at the garden corner.
3. Tell which conclusions are correctly drawn from the Pythagorean theorem and the parallel lines theorem.
4. Write each converse, decide if it is true, and give a counterexample or a proof.
5. Show a statement about the distance from the origin is true, then test its converse and a partial swap.
6. Test both directions of each proposed definition and repair the ones that fail.