Question

Which of the diagrams below represents the contrapositive of the statement

"If it is an equilateral triangle, then it is an isosceles triangle"?

A. Figure A
B. Figure B

Answer 1

The correct figure is B.

Explanation:

The statement provided is:

"If it is an equilateral triangle, then it is an isosceles triangle"

The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.

Then the contra-positive of the statement provided will be:

• Switching the hypothesis and conclusion:

If it is an isosceles triangle - It is an equilateral triangle.

• Negating both the statements:

If it is not an isosceles triangle - it is not an equilateral triangle.

Thus, the contra-positive of the statement is:

"If it is not an isosceles triangle, then it is not an equilateral triangle."

Thus, the correct figure is B.