IF-THEN STATEMENT
CONVERSE
INVERSE
CONTRAPOSITIVE
COUNTEREXAMPLE
100

All turtles are reptiles.

If an animal is a turtle, then it is a reptile.

100

If an animal is a horse, then it has four legs.

If an animal has four legs, then it is a horse.

100

If an animal is an eagle, then it is a bird.

If an animal is NOT a bird, then it is NOT an eagle.

100

If an animal is a shark, then it is a fish.

If an animal is NOT a fish, then it is NOT a shark.

100

If you have a pet, then it is a dog or a cat.

I have a pet fish, and it is NOT a dog or a cat.

200

All soccer players are athletes.

If a person is a soccer player, then that person is an athlete.

200

If you play pro basketball, then you are tall.

If you are tall, then you play pro basketball.

200

If three points are on the same line, then they are collinear.

If three points are NOT on the same line, then they are NOT collinear.

200

If a polygon has five sides, then it is a pentagon.

If a polygon is NOT a pentagon, then it does NOT have five sides.

200

If you play football in the fall, then you play baseball in the spring.

I play football in the fall, but I do NOT play baseball in the spring.

300

Vertical angles are congruent.

If two angles are vertical, then they are congruent.

300

If two angles are supplementary, then their measures add up to 180°

If the measures of two angles add up to 180° then they are supplementary.

300

If you are on the tennis team, then you are not on the track team.

If you are NOT on the tennis team, then you ARE on the track team.

300

If you are eligible to play sports, then you do not have bad grades.

If you DO have bad grades, then you are NOT eligible to play sports.

300

If you do not like white milk, then you want chocolate milk instead.

I do not like white milk, but I do NOT want chocolate milk either. (I prefer to drink water.)

400

Students can get good grades if they pay attention in class.

If a student pays attention in class, then that student can get good grades.

400

If you do not charge your Chromebook, then it will not turn on.

If your Chromebook does not turn on, then you did not charge it.

400

If you do not pass math class, then you will go to summer school.

If you DO pass math class, then you will NOT go to summer school.

400

If you do not eat breakfast, you will feel tired during the day.

If you do NOT feel tired during the day, then you DID eat breakfast.

400

If x² = 25, then x = 5.

Let x = −5. Then x² = 25, but x ≠  5.

500

The cafeteria serves tacos on Tuesdays.

If today is Tuesday, then the cafeteria is serving tacos.

500

If you are a good student, then you are not distracted by your phone.

If you are not distracted by your phone, then you are a good student.

500

If it does not rain tomorrow, then we will not need a ride to school.

If it DOES rain tomorrow, then we WILL need a ride to school.

500

If you do not graduate from high school, then you will not go to college.

If you DO go to college, then you DID graduate from high school.

500

If a conditional statement is true, then its converse is also true.

The statement "If animal is a dog, then it is a mammal" is true. But its converse "If an animal is a mammal, then it is a dog" is NOT true.