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Q: What would a diagram look like that represents the statement If it is an equilateral triangle then it is isosceles?

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

A false statement

An equilateral triangle is a special type of isosceles so an isosceles triangle can not be described as an equilateral triangle so, any equilateral triangle can be an isosceles triangle but an isosceles triangle can not be an equilateral triangle

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.)

An equilateral triangle has all sides measuring the same and an isosceles triangle has 2 sides congruent, so they are not the same. Every equilateral triangle is also an isosceles triangle, but not every isosceles triangle is an equilateral triangle. Isosceles = at least two equal sides Equilateral = three equal sides

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

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.

A false statement

An equilateral triangle is a special type of isosceles so an isosceles triangle can not be described as an equilateral triangle so, any equilateral triangle can be an isosceles triangle but an isosceles triangle can not be an equilateral triangle

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.)

No, none of the equilateral triangle will be isosceles.

Are isosceles triangle sometimes an equilateral triangle

It can be scalene or isosceles but not equilateral.

An equilateral TRIANGLE is not an isosceles ANGLE. However, all equilateral triangles are isosceles triangles. By definition, an isosceles triangle has at least two sides that are congruent. An equilateral has three sides that are congruent, thus an equilateral triangle is an isosceles triangle.

An equilateral triangle has all sides measuring the same and an isosceles triangle has 2 sides congruent, so they are not the same. Every equilateral triangle is also an isosceles triangle, but not every isosceles triangle is an equilateral triangle. Isosceles = at least two equal sides Equilateral = three equal sides

No, it is not.

An equilateral triangle is never an isosceles triangle. An equilateral triangle has three sides equal in length whereas an isosceles triangle only has two sides equal in length.

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