Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statement's truth value is false, give a counterexample.

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Mathematics

Royce Brandt

18 May, 04:34

Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statement's truth value is false, give a counterexample.

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Carlo Haas · Answer 1

If a shape is a circle, then it is round.

It should be true, but the quality of roundness would be debated.

If a shape is round, it is a circle.

There are other examples of the quality of roundness, such as ovals.

If a shape is not a circle, it is not round.

Again, oval.

If a shape is not round, it is not a circle.

This would be true, as circles are known to be round, and the perfect circle is round.