If-Then Form
Converse
Inverse
Contrapositive
Counter-
Example
100
Tenth graders are in Geometry.
What is "If you are a tenth grader, then you are in Geometry."
100
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"
100
If x is odd, then 3x is odd.
What is "If x is not odd, then 3x is not odd"
100
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"
100
If x squared = 9, then x = -3.
What is "If x squared = 9, then x = 3"
200
Puppies are small.
What is "If it is a puppy, then it is small"
200
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."
200
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."
200
If x is odd, then 2x is even.
What is "If 2x is not even, then x is not odd."
200
All flags have green parts on them.
What is "the American Flag"
300
A line contains at least 2 points.
What is "If it is a line then it contains at least 2 points."
300
If 2 planes intersect, then their intersection is a line.
What is "If their intersection is a line, then the 2 planes intersect."
300
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."
300
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."
300
Three points lie on a line.
What is Points A, B, C that are not on the same line (must have a picture)
400
A plane contains at least 3 collinear points
What is "If it is a plane, then it contains 3 collinear points."
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 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."
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 points are coplanar, then they are collinear.
What is "Points A,B, and C that are on the same plane but not the same line" (must have a picture)
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