Consider the statement: ‘If a polygon is a square, then it is a rectangle.’ Which of the following is the converse of the statement above? A. If a polygon is a rectangle, then it is a square. B. If a polygon is a rectangle, then it is not a square. C. If a polygon is not a rectangle, then it is not a square. D. If a polygon is not a square, then it is not a rectangle.

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Consider the statement: ‘If a polygon is a square, then it is a rectangle.’ Which of the following is the converse of the statement above? A - HSC - SSCE Mathematics Extension 2 - Question 3 - 2024 - Paper 1

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Consider the statement: ‘If a polygon is a square, then it is a rectangle.’ Which of the following is the converse of the statement above? A. If a polygon is a re... show full transcript

Worked Solution & Example Answer:Consider the statement: ‘If a polygon is a square, then it is a rectangle.’ Which of the following is the converse of the statement above? A - HSC - SSCE Mathematics Extension 2 - Question 3 - 2024 - Paper 1

Step 1

Identify the converse

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Answer

The converse of a statement of the form 'If P, then Q' is 'If Q, then P'. In this case, the original statement is 'If a polygon is a square (P), then it is a rectangle (Q)'. Thus, the converse would be 'If a polygon is a rectangle (Q), then it is a square (P)'.

Step 2

Select the correct answer option

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Answer

Based on the converted statement, the correct answer to the question is option A: 'If a polygon is a rectangle, then it is a square.'

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