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Different Forms of Conditional Statements

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Presentation on theme: "Different Forms of Conditional Statements"— Presentation transcript:

1 Different Forms of Conditional Statements

2 Converse: q  p pq If two angles are vertical, then they are congruent. qp If two angles are congruent, then they are vertical.

3 Inverse: ~p~q pq If two angles are vertical, then they are congruent. ~p~q If two angles not are vertical, then they are not congruent.

4 Contrapositive:~q~p
pq If two angles are vertical, then they are congruent. ~q~p If two angles not are congruent, then they are not vertical.

5 Contrapositives are logically equivalent to the original conditional statement.
If pq is true, then qp is true. If pq is false, then qp is false.

6 Biconditional When a conditional statement and its converse are both true, the two statements may be combined. Use the phrase if and only if (iff)

7 Definitions are always biconditional
Statement: If an angle is right then it has a measure of 90. Converse: If an angle measures 90, then it is a right angle. Biconditional: An angle is right iff it measures 90

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