Chapter 2 Geometry
What is the negation of 'Triangles are not squares'?
Triangles are squares. - Propositions, Truth Values and Truth Tables
What is the conclusion in the following statement? 'If p and q are odd integers, then pq is odd.'
then pq is odd - Direct Proofs: Definition and Applications
Which is the correct definition of a conjunction?
It is when two statements are connected with an 'AND'; only when both statements are true is the resulting compound statement true. - Logical Math Connectors: Conjunctions and Disjunctions
How many propositions are there in the statement below? I will buy you a huge bacon cheeseburger and wash your car if and only if you give me your big screen television.
3 - Propositions, Truth Values and Truth Tables
Which of the following connectors is the logical conjunction? A. AND B. OR
A - Logical Math Connectors: Conjunctions and Disjunctions
If a = c and b = c, what kinds of new statements can you make? A: If a = c and b = c, then a = b. B: If a = 1, then b = 1. C: If b = 2, then a = 1.
A and B - Critical Thinking and Logic in Mathematics
What is a 'given' statement?
A statement provided as a part of the question. - Geometric Proofs: Definition and Format
Which is a correct logical disjunction formed with the following phrases? Algebra is easy. Geometry is a breeze.
Algebra is easy or geometry is a breeze. - Logical Math Connectors: Conjunctions and Disjunctions
Which type of logical fallacy is illustrated in the example below? I will get an A in math class because I spent many sleepless nights studying.
Appeal to emotion - Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
Which type of logical fallacy is illustrated below? The moon is made of cheese because it looks like cheese and no one has ever eaten the moon.
Appeal to ignorance - Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
Which type of logical fallacy is illustrated below? Everyone in the class agrees that if x = 2 and y = 2, then x must equal y.
Appeal to popularity - Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
Which type of logical fallacy is illustrated below? This chocolate pie must be bad because nobody is taking it.
Appeal to popularity - Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
Which of the following connectors is the logical disjunction? A. AND B. OR
B - Logical Math Connectors: Conjunctions and Disjunctions
All of the following are used in geometric proofs EXCEPT:
Conjecture - Geometric Proofs: Definition and Format
Which is a correct logical conjunction formed with the following phrases? Drew likes roses. Drew loves lilies.
Drew likes roses and Drew loves lilies. - Logical Math Connectors: Conjunctions and Disjunctions
What kind of reasoning does the statement below illustrate? My phone starts to ring whenever my cat starts to purr.
False cause - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
What kind of reasoning uses two unrelated events to prove a point?
Faulse Cause - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
What kind of logic is presented below? Your dog loves rock and roll music because my dog loves rock and roll music.
Hasty generalization - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
If he eats a hamburger, then he will eat two bags of fries. Which of the following represents the hypothesis in the above conditional statement?
He eats a hamburger. - Conditional Statements in Math
Which of the following is the inverse of the below argument? If I am in Kansas, then I'm in the United States.
If I'm not in Kansas, then I'm not in the United States. - Logic Laws: Converse, Inverse, Contrapositive & Counterexample
Which of the following is a conditional statement whose hypothesis is 'Joe has a red car' and whose conclusion is 'Billy gets to drive it'?
If Joe has a red car, then Billy gets to drive it. - Conditional Statements in Math
If the following two propositions are true, which is a true statement? Theresa loves dogs. Spot is a dog.
If Spot is a dog, then Theresa loves Spot. - Critical Thinking and Logic in Mathematics
Which of the following is a conditional statement?
If a square is a rectangle, then a triangle is a shape. - Conditional Statements in Math
In the following statement, which part is the hypothesis? If all mammals are animals, then dogs are animals.
If all mammals are animals - Logic Laws: Converse, Inverse, Contrapositive & Counterexample
Which of these is the logical contrapositive to the following statement? If killing in any sense is wrong, then murder is wrong.
If murder is not wrong, then killing in any sense is not wrong. - Logic Laws: Converse, Inverse, Contrapositive & Counterexample
All of the following statements could be proven with a direct proof EXCEPT:
If n is an odd integer, then m is an even integer. - Direct Proofs: Definition and Applications
What is the hypothesis in the following statement? 'If p is an even integer and q is an odd integer, then p + q is an odd integer.'
If p is an even integer and q is an odd integer - Direct Proofs: Definition and Applications
Which of the following is a conditional statement?
If the dog barks, then the cat will meow. - Conditional Statements in Math
Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?
If triangles have 180 degrees in total, then squares have 360 degrees in total. - Critical Thinking and Logic in Mathematics
If x = 1 and y = 2, what can be said about z if z = xy?
If z = xy, then z = 2. - Critical Thinking and Logic in Mathematics
Which is the correct definition of a disjunction?
It is when two statements are connected with an 'OR'. The combined compound statement can be labeled as true when just one of the statements is true. - Logical Math Connectors: Conjunctions and Disjunctions
What does the statement, 'We will go get ice cream if and only if you clean your room' mean?
It means no clean room, then no ice cream. - Propositions, Truth Values and Truth Tables
If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream. Which of the following represents the conclusion in the above conditional statement?
Jimmy will get a big scoop of chocolate ice cream. - Conditional Statements in Math
If someone asked you to choose between two candidates for president, but there were still five candidates running for president, what kind of logical fallacy is that?
Limited choice - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
Which of the following occurs with a direct proof?
NOT A conditional statement is proven. OR Statements are supported by known facts and definitions. - Direct Proofs: Definition and Applications
All of the following are recommended steps when completing geometry proofs EXCEPT:
NOT Add to the picture OR Draw a picture - Geometric Proofs: Definition and Format
Which of the following is a logic proposition? A: Sam only eats square foods B: Once upon a time C: Circles roll
Not C / B- Critical Thinking and Logic in Mathematics
In a 2-column proof, what goes in the column on the right?
Reasons - Geometric Proofs: Definition and Format
What is an example of a logical fallacy?
Saying something is true or false based on emotions - Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
In a 2-column proof, what goes in the column on the left?
Statements - Geometric Proofs: Definition and Format
The converse of a logical statement is found by doing what?
Switching the hypothesis and the conclusion. - Logic Laws: Converse, Inverse, Contrapositive & Counterexample
Which of these is always logically equivalent to the inverse?
The converse - Logic Laws: Converse, Inverse, Contrapositive & Counterexample
Which statement is an example of circular reasoning?
The moon is made of cheese because the moon is made of cheese. - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
A statement can be determined to be which of the following through a direct proof?
True or false - Direct Proofs: Definition and Applications
p: The dog rolls over on command. q: The dog gets a treat. For the combination p AND q, for which truth values of p and q is the combination true?
p: T q: T - Propositions, Truth Values and Truth Tables
p: The pond is not frozen over. q: The fish are not jumping. For the combination p AND (NOT q), for which truth values of p and q is the combination true?
p=T q=F - Propositions, Truth Values and Truth Tables