2. CONDITIONAL STATEMENTS ARE ANY STATEMENTS THAT
CAN BE WRITTEN IN “ IF THEN “ FORM.
IF YOU DO YOUR CHORES, THEN YOU CAN GO OUT TONIGHT.
HYPOTHESIS CONCLUSION
IF p , THEN q
3. IF YOU DO YOUR CHORES, THEN YOU CAN GO OUT TONIGHT.
IF YOU CAN GO OUT TONIGHT , THEN YOU DID YOUR CHORES.
IF YOU CAN’T GO OUT TONIGHT , THEN
YOU DIDN’T DO YOUR CHORES .
CONDITIONAL STATEMENT: IF p , THEN q ( p q )
CONVERSE : IF q , THEN p ( q p )
INVERSE IF NOT p , THEN NOT q ( ~ p ~ q )
IF YOU DON’T DO YOUR CHORES, THEN
YOU CAN’T GO OUT TONIGHT.
CONTRAPOSITIVE : IF NOT q , THEN NOT p ( ~ q ~ p )
4. WRITING A CONDITIONAL IN “ IF THEN “ FORM
SOMETIMES YOU MUST ADD INFORMATION OR CHANGE THE
WORDING OF A STATEMENT TO PUT IT IN “ IF THEN “ FORM.
AN ANGLE WITH A MEASURE LESS THAN 90 IS ACUTE.
IF AN ANGLE HAS A MEASURE LESS THAN 90, THEN IT
IS ACUTE
PARALLEL LINES NEVER INTERSECT
IF 2 LINES ARE PARALLEL, THEN THEY NEVER
INTERSECT
5. Questions from Glenco Mathematics
www.glenco.com
Identify the hypothesis of the following if-then statement.
If Ralph does his math homework,
then he will get a good grade on the quiz.
A.He will not get a good grade on the quiz.
B.Ralph does his math homework.
C.He will get a good grade on the quiz.
D.Ralph may do his math homework.
Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils.
A.If the flowers are daffodils, then they are yellow.
B.The flowers are not yellow.
C.If the flowers are not yellow, then they are not daffodils.
D.The flowers are not daffodils.
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6. Write the contrapositive of the statement
a right angle measures 90 degrees.
A.If an angle measures 90 degrees, then it is a right angle.
B.If an angle is not a right angle, then its measure is not 90 degrees.
C.If an angle does not measure 90 degrees, then it is not a right angle.
D.If an angle is a right angle, then it measures 90 degrees.
Which statement is the inverse of the statement
angles with the same measure are congruent?
A.If two angles are congruent, then they have the same measure.
B.If two angles have the same measure, then they are congruent.
C.If two angles are not congruent, then they do not have the same measure.
D.If two angles do not have the same measure, then they are not congruent.
If-then statements are also called ______________.
A.reasons
B.conditionals
C.hypothesis
D.conclusions
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