Geometry Notes: 2.2 Conditional Statements
Vocabulary:
 Conditional Statement: An “if, then” statement.
o Example: If an angle measures 130, then it is obtuse.
 Hypothesis: The “if” part of the conditional statement.
o Example: “An angle measures 130”
 Conclusion: The “then” part of the conditional statement.
o Example: “It is obtuse.”
Always identify your hypothesis and conclusion first!
 Converse: If conclusion, then hypothesis.
o Example: If an angle is obtuse, then it measures 130
degrees.
 Inverse: If not hypothesis, then not conclusion.
o Example: If an angle does not measure 130 degrees, then it
is not obtuse.
 Contrapositive: If not conclusion, then not hypothesis.
o Example: If an angle is not obtuse, then is does not
measure 130 degrees.
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Q1: Identify the hypothesis and conclusion of each conditional.
a) If you want to be healthy, then you should eat vegetables.
Hypothesis:
Conclusion:
b) If a figure is a rectangle, then it has four sides.
Hypothesis:
Conclusion:
Q2: Write the following as a conditional.
Vertical angles share a vertex.
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Q3: Write a conditional statement from the Venn diagram.
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Q4: Write the converse, inverse, and contrapositive of the given
conditional statement.
“If a number is divisible by 3, then it is odd.”
Converse:
Inverse:
Contrapositive: