Question

which of the diagram below represents the contrapositive of the statement if it is an equilateral triangle,then it is an isosceles

Answer 1

Answer:Contrapositive of a Statement , if A then B, states that, if not B ,then not A.

In the statement given:

A= A triangle is Equilateral

B=then the triangle is Isosceles.

So,→→Contrapositive of the statement, If A, then B will be ,not B,then Not A

Not B= The triangle is not Isosceles

Then ,Not A= the triangle is not equilateral.

→→Figure A, matches with "Contrapositive of the statement “if it is an equilateral triangle, then it is an isosceles triangle”

=

Answer 2

The diagram that represents the contrapositive of the statement "If it is an equilateral triangle, then it is an isosceles triangle" is: B. Figure B.

In Mathematics, a conditional statement is a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, a conditional statement has the form "if P then Q."

P → Q

Where:

P and Q represent sentences or statements.

Generally speaking, the contrapositive of a conditional statement involves interchanging the hypothesis and conclusion, and negating both hypothesis and conclusion;

~Q → ~P

In this context, the contrapositive of the given statement "If it is an equilateral triangle, then it is an isosceles triangle" can be written as follows;

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

Therefore, only figure correctly represent the contrapositive of the statement.

Complete 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