If-Then Form
Counter-
Example
{Proves the statement Incorrect}
Converse {q ⮕ p}
Contrapositive
{~p ⮕ ~q}
Inverse {~p ⮕ ~q}
200
All roosters are loud

If it is a rooster, then it is loud.

200

If a tool is used for measuring, then it is a ruler.

It could be a tape measure, yard stick, scale, or protractor.

200
If 2 planes intersect, then their intersection is a line.
What is "If their intersection is a line, then the 2 planes intersect."
200
If a point lies on 2 lines, then it is at the intersection.
What is "If a point is not at the intersection, then it does not lie on 2 lines."
200
If you visited Springfield, then you've been to Illinois.
What is "If you have not visited Springfield, then you have not been to Illinois."
400
Puppies are small.
What is "If it is a puppy, then it is small"
400
All flags have green parts on them.
What is "the American Flag"
400
If there is snow on the ground, flowers are not in bloom.
What is "If flowers are not in bloom, then there is snowon the ground."
400
If x is odd, then 2x is even.
What is "If 2x is not even, then x is not odd."
400
If you like hockey, then you go to the hockey game.
What is "If you do not like hockey, then you do not go to the game."
400

All dogs are furry

If it is a dog, then it is furry.

400

If it is sunny outside, then it is hot out. 

It could be cold and sunny outside. 

400
If 2 points lie on a plane, then the line containing them lies in the plane.
What is "if the line containing 2 points lies in a plane, then they lie on the plane"
400
If you like purple, then you'll love Barney.
What is "If you do not love Barney, then you do not like purple."
400
If measure of angle p is 90 degrees, then it is a right angle.
What is "If the measure of angle p is not 90 degrees, then it is not a right angle."
500
Tenth graders are in Geometry.
What is "If you are a tenth grader, then you are in Geometry."
500

If it is a sweet liquid then, it is apple juice.

Tea with Honey

Soda

Kool-aid

500
If the child is 5 years old, then they are in kindergarden.
What is "If a child is in kindergarden, then they are 5 years old"
500
If you like tennis, then you play on the tennis team.
What is "If you do not play on the tennis team, then you do not like tennis"
500
If x is odd, then 3x is odd.
What is "If x is not odd, then 3x is not odd"
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