Question

question 10 of 10 which of the diagrams below represents the contrapositive of the statement \if it is an equilateral triangle, then it is an isosceles triangle\? figure a: diagram with not isosceles triangle outside and not equilateral triangle inside figure b: diagram with not equilateral triangle outside and not isosceles triangle inside a. figure a b. figure b

Explanation:

Step1: Recall contrapositive definition

The contrapositive of a conditional statement "If \(p\), then \(q\)" is "If not \(q\), then not \(p\)". Here \(p =\) "it is an equilateral triangle" and \(q=\) "it is an isosceles triangle". So the contrapositive is "If it is not an isosceles triangle, then it is not an equilateral triangle".

Step2: Analyze the diagrams

In a Venn - diagram representation for the contrapositive, the set of non - isosceles triangles should be the outer set and the set of non - equilateral triangles should be the inner set. Figure A has non - isosceles triangles as the outer set and non - equilateral triangles as the inner set.

Answer:

A. Figure A