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Write the Converse, Inverse and Contrapositive of the following if-then statement.
1. If angles are congruent, then they have the same measure.
Converse ________
Inverse _______
Contrapositive _____
2. If three points lie on a straight line, then the points are collinear.
Converse _____
Inverse______
Contrapositive _____
3. If the lines form a right angles, then the lines are perpendicular. Converse_____
Inverse _____
Contrapositive______
Write the Converse, Inverse and Contrapositive of the following if-then statement.
1. If angles are congruent, then they have the same measure.
Converse ________
Inverse _______
Contrapositive _____
2. If three points lie on a straight line, then the points are collinear.
Converse _____
Inverse______
Contrapositive _____
3. If the lines form a right angles, then the lines are perpendicular. Converse_____
Inverse _____
Contrapositive______
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Answer:
1. Converse: If you hear thunder, then you see lightning.
Inverse: If you do not see the lightning, then you do not hear the thunder.
Contrapositive: If you do not hear the thunder, then you do not see the lightning.
2. Converse: If they are collinear, then there are three points lie on a line.
Inverse: If there are no three points lie on a line, then they are not collinear.
Contrapositive: If they are not collinear, then there are no three points lie on a line.
3. Converse: If they are congruent, then the two angles are vertical.
Inverse: If the two angles are not vertical, then they are not congruent.
Contrapositive: If they are not congruent, then the two angles are not vertical.