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"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.

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12y ago

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How do you write the inverse converse and contrapositive of the statement a triangle is equilateral if it has three sides with the same lenghts?

The original statement is: "If a triangle has three sides of the same length, then it is equilateral." Inverse: "If a triangle does not have three sides of the same length, then it is not equilateral." Converse: "If a triangle is equilateral, then it has three sides of the same length." Contrapositive: "If a triangle is not equilateral, then it does not have three sides of the same length."


What is the contrapositive of the statement if it is an equilateral triangle then it is an isosceles triangle?

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


What is the statement if it is an equilateral triangle then it is isosceles?

A false statement


what- an equilateral triangle is used in a tent design. is this statement true or false the triangle is equilateral?

true


What is the FALSE statement about a triangle?

False: A triangle will only tessellate if it's in the form of an equilateral triangle.


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

The contrapositive of the statement "If it is an equilateral triangle, then it is an isosceles triangle" is "If it is not an isosceles triangle, then it is not an equilateral triangle." A diagram representing this could include two circles: one labeled "Not Isosceles Triangle" and another labeled "Not Equilateral Triangle." An arrow would point from the "Not Isosceles Triangle" circle to the "Not Equilateral Triangle" circle, indicating the logical implication. This visually conveys the relationship between the two statements in the contrapositive form.


Which of the diagrams below represents tWhich of the following is the inverse of the statement If I do my homework then it will snowhe statement If it is an triangle then it has three vertices?

The inverse of the statement "If it is a triangle then it has three vertices" is "If it does not have three vertices, then it is not a triangle." This involves negating both the hypothesis (it is a triangle) and the conclusion (it has three vertices).


What is the inverse of the statement A triangle is an acute triangle if it has three acute angles?

The triangle is slanted to the right


Which statement about triangles cannot be proved for all triangles?

if a triangle is acute, then the triangle is equilateral


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

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


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

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.


If a triangle is equilateral then it is isosceles What is the converse of the 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.)