SME
Grade 10 Math · Problem type
Conditional, converse, inverse, contrapositive
Use this for “Write the converse of ‘If two angles are vertical, then they are congruent.’ Is it true?”
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Is the statement always true, or does it have a counterexample?
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Assumptions
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Converse: swap the if and the then. Inverse: say “not” to both. Contrapositive: do both.
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A statement and its contrapositive are true together; so are the converse and the inverse.
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One counterexample is enough to show a statement is false.
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Related lessons
Reasoning and proof: conditional statements and two-column proofs
Main lesson
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Inductive or deductive?
Use this for “Is this conclusion reached by inductive or deductive reasoning?”
Reasons in an algebraic proof
Use this for “Solve 2(x − 3) = 14 and give a reason for each step.”