Explain what is meant by the converse of a theorem - Leaving Cert Mathematics - Question 6A - 2014
Question 6A
Explain what is meant by the converse of a theorem.
The converse of a theorem is a statement which swaps what is assumed and what is to be proved in a theorem. For ... show full transcript
Worked Solution & Example Answer:Explain what is meant by the converse of a theorem - Leaving Cert Mathematics - Question 6A - 2014
Step 1
Explain what is meant by the converse of a theorem.
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Answer
The converse of a theorem involves reversing the hypothesis and conclusion. For example, if we have a statement "If P, then Q", the converse would be "If Q, then P".
Step 2
Give one such geometric statement, and state also the (false) converse.
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Answer
Statement: If a shape is a square, then the sides which intersect do so at a 90° angle.
Converse: Given a shape, if the sides which intersect do so at a 90° angle, then the shape is a square.
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