Question

problem 13: (first taught in lesson 48) select whether the statement below is the converse, inverse, or contrapositive of the following statement: if a figure is a polygon with 10 sides, then it is a decagon. if a figure is not a decagon, then it is not a polygon with 10 sides. after you pick your answer press go. a. converse b. inverse c. contrapositive

Explanation:

Let the original statement be “If \(p\) (a figure is a polygon with 10 sides), then \(q\) (it is a decagon)”. The given statement is “If not \(q\) (a figure is not a decagon), then not \(p\) (it is not a polygon with 10 sides)”.
The contrapositive of a statement “If \(p\), then \(q\)” is “If not \(q\), then not \(p\)”.
The converse is “If \(q\), then \(p\)”. The inverse is “If not \(p\), then not \(q\)”.

Answer:

C. contrapositive