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Conditional Statements
• Called if-then statements.
• Hypothesis- The part following if.
• Conclusion- The part following then.
* Do not include if and then in the
hypothesis and conclusion.
Hypothesis and Conclusion
• If you are not satisfied for any reason,
then return everything within 14 days
for a full refund.
Try These
• If it is Saturday, then Elise plays soccer.
– Hypothesis– Conclusion-
it is Saturday
Elise plays soccer
• If points are collinear, then they lie on
the same line.
– Hypothesis– Conclusion-
points are collinear
they lie on the same line
Listen to conditionals.
Converse
• The converse of a conditional statement
is formed by exchanging the hypothesis
and the conclusion in the conditional.
– Conditional- If a figure is a triangle, then it
has three angles.
– Converse- If a figure has three angles, then
it is a triangle.
* The converse does not have
to be true.
• Conditional- If a figure is a square,
then it has four sides.
• Converse- If a figure has four sides,
then it is a square.
* Not all four sided figures are
squares. Rectangles also have four
sides.
Rewrite the statement as a conditional
statement, then find the converse.
• All members of Congress are U.S.
citizens.
• Conditional- If you are a member of
Congress, then you are a U.S. citizen.
• Converse- If you are a U.S. citizen,
then you are a member of Congress.
Inverse
• The inverse of a conditional statement is
formed by negating both the hypothesis
and the conclusion in the conditional
(Add “NOT”)
Conditional- If a figure is a triangle,
then it has three angles.
– Inverse- If a figure is not a triangle,
then it does not have three angles.
Contrapositive
• The contrapositive of a conditional
statement is formed by negating both the
hypothesis and the conclusion of the
converse.
(SWITCH the order and add NOT)
– Conditional- If a figure is a triangle,
then it has three angles.
– Contrapositive- If it does not have
three angles, then a figure is not a
triangle.
• Turn to page 5 in your packet.
Try this: (page 6 in your packet)
• From the following conditional
statement, give the
–Hypothesis
If a figure has
–Conclusion
five sides, then it
–Converse
is a pentagon.
–Inverse
–Contrapositive
Try this
• From the following conditional statement, give the
If a figure has five sides, then it is a pentagon.
1. Hypothesis: a figure has five sides
2. Conclusion: it is a pentagon
3. Converse: If a figure is a pentagon, then it has
five sides.
4. Inverse: If a figure does not have five sides, then
it is not a pentagon.
5. Contrapositive: If a figure is not a pentagon, then
it does not have five sides.
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