1. Biconditional Statements p q

2. Biconditional Statements p q {P iff q} P, if and only if q Is equivalent to both: If p, then q If q, then p P, if and only if q Is equivalent to both: If p, then q If q, then p

3. Write as a Conditional and it’s Converse Two Segments are congruent if and only if they have the same measure. If two segments are congruent, then they have the same measure If two segments have the same measure, then they are congruent

4. Write as a Conditional and it’s Converse Three points are collinear if and only if they lie on the same line. If three points are collinear, then they lie on the same line If three points lie on the same line, then they are collinear

5. Four points are coplanar if and only if they lie in the same plane. If four points are coplanar, then they lie in the same plane If four points lie in the same plane, then they are coplanar Write as a Conditional and it’s Converse

6. You may go to the movies Friday night if and only if you clean your room. If you clean your room, then you may go to the movies Friday night If you go to the movies Friday night, then you cleaned your room Write as a Conditional and it’s Converse

7. You may become president of the US if and only if you are at least 35 years old. If you are at least 35 years old, then you may become president of the US If you become president of the US, then you are at least 35 years old Write as a Conditional and it’s Converse

8. Write the Converse If True, write bi-conditional If False, Give Counter Example If you are 15 years old, then you are a teenager. If you are a teenager, then you are 15 years old. Converse: Counter example: A teenager can be 16 years old.

9. Write the Converse If True, write bi-conditional If False, Give Counter Example If C is on the ray BA, then it’s on the line BA. If C is on the line BA, then it’s on the ray BA. Counter example: A B Hey, Wait for me.

10. Write the Converse If True, write bi-conditional If False, Give Counter Example If two angles are complementary then the sum of their measures is 90. If the sum of two angles measures is 90 then they are complementary Two angles are complementary if and only if the sum of their measures is 90. √