0
The concept of contrapositive comes from here. A implies B is equivalent to not B implies not A.
Prove by contrapositive means instead of proving condition A leads to B, show that if B fails also cause A to fail.
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
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."
What is contrapositive?
It is the opposite of a statement...kinda... It is used in if then statements. Let me explain: Statement: If cardinals are red, then a dog is a cardinal. The contrapositive of that statement would be: If a dog is not a cardinal, then it is not red. Notice how you switch the order of if and then in the sentence. Then you insert the nots. To make the sentence true of false. I took geometry a while ago, sot his may not be accurate, but I hoped it helped!
What does contrapositive mean?
It is the opposite of a statement...kinda... It is used in if then statements. Let me explain: Statement: If cardinals are red, then a dog is a cardinal. The contrapositive of that statement would be: If a dog is not a cardinal, then it is not red. Notice how you switch the order of if and then in the sentence. Then you insert the nots. To make the sentence true of false. I took geometry a while ago, sot his may not be accurate, but I hoped it helped!
What is the law of contrapositive?
If p->q, then the law of the contrapositive is that not q -> not p
What are contrapositive statements?
A contrapositive of a conditional is the same conditional, but with the antecedent and consequent swapped and negated. It is logically equivalent to the original statement; it means the same thing. For example, the contrapositive of, "If we all pitch in, we can leave early today," is, "If we don't leave early today, we did not all pitch in."D.If I will not purchase a nonstop flight, then I cannot afford the airfare..:BAByLOKA:.
Which of the diagrams below represents the contrapositive of the statement If it is a square then it is a quadrilateral?
Figure B apex
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
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).
Example of an statement conjunction statement?
I went to the store AND I bought some milk.
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."
What is logically equivalent to a conditional statement?
A Contrapositive statement is logically equivalent.
The statement formed when you negate the hypothesis and conclusion of a conditional statement?
Contrapositive
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.
is this statement true or falseA biconditional statement combines a conditional statement with its contrapositive.?
false
What also is true if a conditional statement is true A its contrapositive B its converse C its inverse D none of these?
A conditional statement is true if, and only if, its contrapositive is true.
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.
