CONVERSE inverse contrapositive statement

conditional

1. CONVERSE, INVERSE, and CONTRAPOSITIVE STATEMENT

2. The CONVERSE of a conditional statement is formed by interchanging the hypothesis and conclusion. 

3. 1. IF two angles are adjacent, THEN they have a common vertex. CONVERSE - IF two angles have a common vertex, THEN they are adjacent.

4. 2. IF two angles are supplementary, THEN the sum of their angles is 180 degrees. CONVERSE - IF two angles have a sum of 180 degrees, THEN they are supplementary.

5. 3. IF you are 5 feet tall, THEN you are also 60 inches tall. CONVERSE - IF you are 60 inches tall, THEN you are also 5 feet tall.

6. Given a conditional statement, its INVERSE can be formed by negating both the hypothesis and conclusion.  

7. Inverse: State the opposite of both the hypothesis and conclusion. If two angles are vertical , then they are congruent. Inverse: If two angles are not vertical , then they are not congruent.

8. Given a conditional statement, its CONTRAPOSITIVE are logically equivalent to the original conditional statement.

9. Contrapositive: Switch the hypothesis and conclusion and state their opposites. If two angles are vertical , then they are congruent. If two angles are not congruent , then they are not vertical.

10. Statement: A triangle is a polygon. If-then form: If a shape is a triangle, then it is a polygon. Converse: If it is a polygon, then it’s shape is a triangle. Inverse: If a shape is not a triangle, then it is not a polygon. Contrapositive: If a shape is not a polygon, then it is not a triangle.

11. 1 . All right angles are equal. 2. A segment has exactly one midpoint. 3. Angles in a linear pair are supplementary. 4. Pentagon has five sides. 5. Drinking Pepsi makes you happy.