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.
true
False: A triangle will only tessellate if it's in the form of an equilateral triangle.
if a triangle is acute, then the triangle is equilateral
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.
The contrapositive would be: If it is not an isosceles triangle then it is not 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.)
If a figure is not a triangle then it does not have three sides ,is the contrapositive of the statement given in the question.
The converse is, "If a triangle is isosceles, then it is equilateral." Neither is true.
"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.
A false statement
true
It's Figure A
False: A triangle will only tessellate if it's in the form of an equilateral triangle.
if a triangle is acute, then the triangle is equilateral
A simple example of a conditional statement is: If a function is differentiable, then it is continuous. An example of a converse is: Original Statement: If a number is even, then it is divisible by 2. Converse Statement: If a number is divisible by 2, then it is even. Keep in mind though, that the converse of a statement is not always true! For example: Original Statement: A triangle is a polygon. Converse Statement: A polygon is a triangle. (Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)
Figure B. equilateral triangle (small circle) inside of isosceles triangle (big cirlce)