Converse, Inverse, or Contrapositive
Patterns, Conjectures, and Counterexamples
Prove it!
Draw the Right Conclusion
Life is Like a Box of Chocolates...
100
The conclusion of the statement: "If a polygon has exactly three sides, then it is a triangle."
What is "It is a triangle."
100
The next two terms in the following sequence: 95, 84, 73, 62, ...
What are 51 and 40?
100
The property that justifies the following statement: m
What is the Symmetric Property of Congruence?
100
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."
100
A statement in which the hypothesis and conclusion of the conditional are reversed.
What is a converse statement?
200
The hypothesis of the statement: "Cats are mammals."
What is "An animal is a cat."
200
A counterexample to the statement: "An apple is a red fruit."
What is: Some apples are green and yellow.
200
The property that justifies the following statement: If x + 7 = 5, then x = -2
What is the Subtraction Property of Equality?
200
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?
200
Write as a biconditional, if possible. If x = -8, then x squared = 64
What is not possible. You can not write the biconditional because the converse is false!
300
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."
300
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."
300
The property that justifies the following statement: If x=18 and y=18, then x=y
What is the Substitution Property of Equality
300
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."
300
What are the two laws of logic that are used in deductive reasoning?
What is Law of Detachment and Law of Syllogism.
400
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."
400
Find the next three terms... 4.5, 0.5, 5.0, 0.6, 5.6, 0.7, 6.3, ...
What is 7.1, 0.8, 7.9
400
The property that justifies the following statement: If 4d = 16, then d=4
What is the Division Property of Equality
400
The conclusion and the reasoning used when making the following statements: "If you are a good tennis player, then you are quick. Martina is a good tennis player."
What is "Martina is quick." Law of Detachment
400
Brian defines a book as something you read. Is this a good definition?
What is no, you can also read a newspaper, magazine,...
500
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."
500
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).
500
The property that justifies the following statement: AB=CD CD=EF Therefore, AB=EF
What is the Transitive Property
500
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
500
What is the difference between inductive reasoning and deductive reasoning?
What is Inductive reasoning is based on patterns and observations; Deductive reasoning is based on logic drawn from given statements.