Conditional Statements (Inverse, Converse, Contrapositive)

If a number is a natural number, then it is a whole number.

If a number is a whole number, then it is a natural number.

• Converse

• Inverse

• Contrapositive

• Biconditional Statement

If I study, then I will do well on my Geometry test.

If I did not do well on my Geometry test, then I did not study.

• Inverse

• Converse

• Contrapositive

• Biconditional Statement

If I don't set my alarm clock, then I will be late for work.

If I set my alarm clock, then I will not be late for work.

• Inverse

• Converse

• Contrapositive

• Biconditional Statement

If you purchase two bags of chips, then you will get one bag free.

If you did not get one bag for free, then you did not purchase two bags of chips.

• Inverse

• Converse

• Contrapositive

• Biconditional Statement

If you live in Denver, then you live in Colorado.

If you live in Colorado, then you live in Denver.

• Inverse

• Converse

• Contrapositive

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

If two angles form a linear pair, then they are adjacent.

If two angles do not form a linear pair, then they are not adjacent.

• Inverse

• Converse

• Contrapositive

Tags

CCSS.7.G.B.5

If today is President's Day, then there is no school.

Write the converse.

• If today is not President's Day, then there is school.

• If there is school today, then it is not President's Day.

• If there is no school today, then it is President's Day.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

If a quadrilateral is a square, then it has four right angles.

Write the contrapositive.

• If a quadrilateral does not have four right angles, then it is not a square.

• If a quadrilateral is not a square, then it does not have four right angles.

• If a quadrilateral has four right angles, then it is a square.

Tags

CCSS.2.G.A.1

If it rains, then the field trip will be canceled.

Write the inverse.

• If the field trip is canceled, then it rains.

• If the field trip is not canceled, then it will not rain.

• If it does not rain, then the field trip will not be canceled.

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.
• If the food is not in the oven, then it is not cooked.
• If the food is cooked, then its in the oven.
• If food is not in the oven, then its cooked.