conditional statements, Geometry: Conditional Statements

Hypothesis

The __________ of a conditional statement is the phrase immediately following the word if.

Conclusion

The __________ of a conditional statement is the phrase immediately following the word then.

Converse

The __________ is formed by exchanging the hypothesis and conclusion of the conditional.

q --> p

Inverse

The__________ is formed by negating both the hypothesis and conclusion of the conditional

~p --> ~q

Contrapositive

The _________________ is formed by negating both the hypothesis and the conclusion of the converse of the conditional ~q --> ~p

Negation

The opposite of a statement

Perpendicular lines

Lines that intersect to form right angles

If I do not eat spinach, then I will not get strong.

Find the inverse:

If I eat spinach, then I will get strong.

If I get strong, then I will have eaten spinach.

Find the converse:

If I eat spinach, then I will get strong.

If I do not get strong, then I will not have eaten spinach.

Find the contrapositive:

If I eat spinach, then I will get strong.

If I do not study math, then I will not be a genius.

Find the inverse:

If I study math, then I will be a genius.

If I am a genius, then I have studied math.

Find the converse:

If I study math, then I will be a genius.

If I am not a genius, then I have not studied math.

Find the contrapositive:

If I study math, then I will be a genius.

Conditional Statement

A _____________________ is a statement that can be written in the form if p, then q p --> q

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