Converse, Inverse, or Contrapositive
The conclusion of the statement: "If a polygon has exactly three sides, then it is a triangle."
What is "It is a triangle."
The next two terms in the following sequence: 95, 84, 73, 62, ...
What are 51 and 40?
State the following statement as the converse without using if and then. I breathe when I sleep.
What I sleep when I breathe.
IF a conclusion can be drawn from the following statements, it would be this. The statements are: "If you want to get a driver's license, you must take a driver's education course." "John wants to get a driver's license."
What is "John must take a driver's education course."
A statement in which the hypothesis and conclusion of the conditional are reversed.
What is a converse statement?
The hypothesis of the statement: "Cats are mammals."
What is "An animal is a cat."
A counterexample to the statement: "An apple is a red fruit."
What is: Some apples are green and yellow.
What type of reasoning? Since it is cold and snowy outside, I will wear my hats and boots.
What is deductive reasoning
The law of logic behind the following statements: "If you do not study, you will not receive good grades. If you do not receive good grades, you will not get into a good college. If you do not study, you will not get into a good college."
What is the Law of Syllogism?
For this statement both the conditional and converse must be true.
What is biconditional.
The converse of the statement: "If Jerrod is in eleventh grade, then Jerrod is in high school."
What is "If Jerrod is in High School, then Jerrod is in eleventh grade."
A counterexample for the conjecture: "All quadrilaterals with four right angles are squares."
What is "A rectangle has four right angles but is not a square."
Which type of reasoning is the following and why: When I give my students tests, they complain. Monday, I will give a test so they will complain.
Inductive reasoning. Follows a patter.
The biconditional statement formed from the following two conditional statements: "If today is Monday, then tomorrow is Tuesday." "If tomorrow is Tuesday, then today is Monday."
What is "Today is Monday if and only if tomorrow is Tuesday."
The word which fills in the blank in the following statement. A _______ reasoning is based on facts.
What is "Deductive"
The inverse of the statement: "If a polygon is a triangle, then it has exactly three sides."
What is "If a polygon is not a triangle, then it does not have exactly three sides."
The description of the following pattern:January, April, July.
What is skip 2 months.
What type of reasoning is this and why?
When I get home the dog is so excited to see me because I let her outside. Today when I get home, the dog will go bananas.
What is inductive reasoning.
The conclusion and the reasoning used when making the following statements: "All good tennis players are quick. Martina is a good tennis player."
What is "Martina is quick." Law of Detachment
What law is this and what is the conjecture. If I miss my bus, then I'll be late for school. If I am late for school, I will not go to the movies.
What is law of Syllogism. If I miss my bus, I will not go to the movies
The contrapositive of the statement: "If a square has 5-inch sides, then the square has area 25 square inches."
What is "If a square does not have an area of 25 square inches, then the square does not have 5-inch sides."
A counterexample to the following statement: "If a parallelogram has four congruent sides, then it is a square."
What is a rhombus (four congruent sides, but not always a square).
What type of reasoning is this and why. I have two eyes and a cat has two eyes. So I am a cat.
deductive - my reasoning is based on fact.
The word in the blank, and the reasoning which supports the answer: "If a red marble hits a blue marble, and the blue marble hits a green marble, and the green marble hits a yellow marble, then the ________ marble caused the yellow marble to move."
What is "red" and the Law of Syllogism
Is the following bicondtional true or false? If it is false give the reason. I will eat pie if and only if it is Thanksgiving.
False. You can eat pie at other times.