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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?
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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.
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'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.
Does a equiangular triangle have to be equilateral?
No, an equilateral triangle has to be equiangular, but an equiangular triangle does NOT have to be equilateral
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.
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.)
What is the contrapositive of if a figure has three sides it is a triangle?
If a figure is not a triangle then it does not have three sides ,is the contrapositive of the statement given in the question.
If a triangle is isosceles then it is equalateral. what is the converse?
The converse is, "If a triangle is isosceles, then it is equilateral." Neither is true.
What is an inverse statement of if a triangle is an equilateral triangle?
"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.
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
Which of the diagrams below represents the contrapositive of the statement If it is a triangle then it has three vertices?
It's Figure A
What is the FALSE statement about a triangle?
False: A triangle will only tessellate if it's in the form of an equilateral triangle.
Which statement about triangles cannot be proved for all triangles?
if a triangle is acute, then the triangle is equilateral
What are some examples of a conditional statement?
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!)
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)
