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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.
When you change the truth value of a given conditional statement?
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 formed when you negate the hypothesis and conclusion of a conditional statement?
Contrapositive
is this statement true or falseA biconditional statement combines a conditional statement with its contrapositive.?
false
A biconditional statement combines a conditional statement with its contrapositive. T or F?
False
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 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.
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 is the statement if it is an equilateral triangle then it is isosceles?
A false statement
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.)
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
Which of the diagrams below represents the contrapositive of the statement If it is a square then it is a quadrilateral?
Figure B apex
Is a contrapositive statement true?
If a conditional statement is true, then so is its contrapositive. (And if its contrapositive is not true, then the statement is not true).
When you change the truth value of a given conditional statement?
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.
What does contrapositive of a statement mean?
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."
The statement formed when you negate the hypothesis and conclusion of a conditional statement?
Contrapositive
What is logically equivalent to a conditional statement?
A Contrapositive statement is logically equivalent.
