IXL - Converses, inverses, and contrapositives (Geometry practice)

What is the converse of the following conditional?

If it is sunny outside, then Kenny is wearing a hat.

If Kenny is not wearing a hat, then it is not sunny outside.

If it is not sunny outside, then Kenny is not wearing a hat.

If Kenny is wearing a hat, then it is sunny outside.

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What is the inverse of the following conditional?

If it is not Trudy's birthday, then she is not going to eat rocky road ice cream.

If Trudy is not going to eat rocky road ice cream, then it is not her birthday.

If it is Trudy's birthday, then she is going to eat rocky road ice cream.

If Trudy is going to eat rocky road ice cream, then it is her birthday.

A conditional statement can be written as If

then

A is the hypothesis and B is the conclusion.

The inverse of the conditional If

then B is If not

then not

The hypothesis and conclusion are negated.

To find the inverse of the given conditional, negate the hypothesis and conclusion.

Original: If it is not Trudy's

birthday,

then she is not going to eat rocky road ice

cream.

Inverse: If it is Trudy's

birthday,

then she is going to eat rocky road ice

cream.

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