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Geometry A.2 Counterexamples 2GJ
a triangular prism
Which of the following is a counterexample for this conditional statement?
If a solid has a rectangular base, then it is a rectangular pyramid.
a rectangular pyramid
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a rectangular prism
a cylinder
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Answer 1

A counterexample for the conditional statement "If a solid has a rectangular base, then it is a rectangular pyramid" is a rectangular prism.

Step-by-step explanation:

A counterexample for the conditional statement "If a solid has a rectangular base, then it is a rectangular pyramid" is a rectangular prism.

A counterexample is an example that disproves a statement. In this case, the statement suggests that all solids with a rectangular base are rectangular pyramids. However, a rectangular prism is a solid with a rectangular base, but it is not a rectangular pyramid. Therefore, a rectangular prism serves as a counterexample.

Counterexamples are useful in mathematics to test the validity of statements and identify potential exceptions to general rules or definitions.

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