# PAP GEO Conditional Staments Definitions

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```					Conditional Statement-A logical
statement that has two parts, a hypothesis
and a conclusion. Written in an “If...., Then....”
form.

 If it is Retro Day, then Mr. Ponce is dressed
up in his 80’s clothes.
 If two lines intersect to form a right angle,
then they are perpendicular lines.
Converse-Exchange both the hypothesis
and the conclusion.

 If Mr. Ponce is dressed up in his 80’s
clothes, then it is Retro Day.
 If two lines are perpendicular, then they
intersect to form a right angle.
Inverse-Negate both the hypothesis and the
conclusion.

 If it is NOT Retro Day, then Mr. Ponce is
NOT dressed up in his 80’s clothes.
 If two lines do NOT intersect to form a
right angle, then they are NOT
perpendicular lines.
Contrapositive-First write the converse
and negate both the new hypothesis and the
new conclusion.

 If Mr. Ponce is NOT dressed up in his
80’s clothes, then it is NOT Retro Day.
 If two lines are NOT perpendicular, then
they do NOT intersect to form a right
angle.
Biconditional- Can be written when a
conditional statement and its converse are
both true; used to write valid definitions;
contains the phrase “if and only if.”

 Mr. Ponce is dressed up in his 80’s
clothes if and only if it is Retro Day.
 Two lines are perpendicular if and only if
they intersect to form a right angle.

```
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