The converse, inverse, negation, and contrapositive of statements.

1. 2.2: Biconditional
Statements
5.4: Contrapositive
Statements
Essential Question:
What are the various "transformations"
of a conditional statement?
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2. What's a Biconditional
Statement??
Biconditional: when a conditional
statement and it's converse are true
Contains "if and only if"
Two lines are perpendicular if and only
if they form 4 right angles.
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3. Ex. 1) Write as a biconditional statement.
If two angles have the same measurement,
then they are congruent.
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4. Ex. 2) Write the biconditional statement as two
separate statements.
A number is divisible by 3 if and only if the sum
of the digits is divisible by 3.
If a number is divisible by 3, then the sum
of the digits is divisible by 3.
If the sum of the digits is divisible by 3, then
the number is divisible by 3.
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5. 5.4 Inverse and
Contrapositive
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6. Conditional Statement:
negation:
Inverse:
Contrapositive:
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7. Write the converse, negation, inverse, and contrapositive of the
statement below:
If I score advanced on the STAR test, I get
out early for lunch next year.
If I get out early for lunch next year, then I scored advanced on
the STAR test.
I don't score advanced on the STAR test.
If I don't score advanced on the STAR test, then I don't get out
early for lunch next year.
If I don't get out early for lunch next year, then I didn't score
advanced on the STAR test.
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8. Write the converse, negation, inverse, and
contrapositive of the following statement.
If ΔABC is equilateral, then it is isosceles.
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9. Assignment:
Write 5 conditional statements and
find:
­ converse
­ negation
­ inverse
­ contrapositive
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