What is a biconditional statement?
It's an "if and only if" statement that combines a true conditional and its true converse.
What is a converse again?
It's when you switch the hypothesis and conclusion (write them backwards).
In other words: You can write a biconditional statement (put "if and only if" in the middle) if BOTH the conditional and converse are true.
How does this relate to definitions?
If a definition can be written as a biconditional, it's a good definition.
Let's try some examples:
For each example, write it as a biconditional if possible.
If the sum of the measures of two angles is 180, then the two angles are supplementary.
If a ray is an angle bisector, then it divides an angle into two congruent angles.
A fish is an animal that swims.
Let's do the first problem on the work together! Work alone when you're ready.
Try this for a 4!