The following conditional statement true. what is the statements converse and is the converse true?

If a figure is a square, then it has four right angles.

A) If a figure is not a square, then it does not have four right angles. This is true.

B) If a figure is not a square, then it does not have four right angles. This is false because a rectangle is a counterexample.

C) If a figure has four right angles, then it is a square. This is true.

D) If a figure has four right angles, then it is a square. This is false because a rectangle is a counterexample.

Question

Mathematics

Snoop

13 February, 03:31

The following conditional statement true. what is the statements converse and is the converse true?

If a figure is a square, then it has four right angles.

A) If a figure is not a square, then it does not have four right angles. This is true.

B) If a figure is not a square, then it does not have four right angles. This is false because a rectangle is a counterexample.

C) If a figure has four right angles, then it is a square. This is true.

D) If a figure has four right angles, then it is a square. This is false because a rectangle is a counterexample.

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Answers (1)

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Raymond Ford · Answer 1

A converse is when we switch the hypothesis and conclusion, so "if a figure is a square then it has four right angles" the converse would be "If a figure has four right angles then it is a square" Which is false because of rectangles, your answer is D.