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Q: How would you draw a diagram to represent the contrapositive of the statement If it is an equilateral triangle then it is an isosceles triangle?

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Then it would be a false statement because an isosceles and an equilateral triangle have different geometrical properties as in regards to the lengths of their sides.

by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.

Contrapositive

false

A contrapositive means that if a statement is true, than the characteristics also pertains to the other variable as well.

Related questions

The contrapositive would be: If it is not an isosceles triangle then it is not an equilateral triangle.

A false statement

If a triangle is isosceles, then it is equilateral. To find the converse of a conditional, you switch the antecedent ("If ____ ...") and consequent ("... then ____."). (Of course, if not ALL isosceles triangles were equilateral, then the converse would be false.)

Then it would be a false statement because an isosceles and an equilateral triangle have different geometrical properties as in regards to the lengths of their sides.

figure b

Figure B. equilateral triangle (small circle) inside of isosceles triangle (big cirlce)

If a conditional statement is true, then so is its contrapositive. (And if its contrapositive is not true, then the statement is not true).

bird circle inside the animal circle

by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.

The statement "All red objects have color" can be expressed as " If an object is red, it has a color. The contrapositive is "If an object does not have color, then it is not red."

A Contrapositive statement is logically equivalent.

Contrapositive