Inductive and Deductive Reasoning
This uses pattern, examples, or observations before reaching a conclusion or generalization.
Inductive Reasoning
A statement in the form of "If p, then q."
Conditional Statement
These are the angles that are found in the same relative spot at each intersection and equal in measure.
Corresponding Angles
It is an error in reasoning that makes an argument invalid, weak, or misleading.
Logical Fallacy
What is the play of Shakespeare in which it is about two lovers from feuding families - Montague and Capulet?
Romeo and Juliet
What is a mathematical statement that are believed to be true because of observations, patterns, or examples?
Conjecture
A statement in the form of "If q, then p."
These are the angles that lies inside the parallel lines on opposite sides of the transversal and are equal.
Alternate Interior Angles
What do you call an error involving language, assumptions, relevance, evidence, or persuasion?
Informal Fallacy
It is known as the "Land of the Rising Sun" and located in the East Asia.
Japan
It uses general definitions, theorems, and principles before reaching a conclusion or generalization.
Deductive Reasoning
A statement in the form of "p if and only if q".
Biconditional Statement
These are the angles that lies inside the parallel lines on the same side of the transversal and add up to 180 degrees.
Consecutive Interior Angles
Identify the fallacy: “Sophia knows that in the movie Cinderella, she was treated horribly by her stepmother and her stepsister. Therefore, Sophia concluded that all stepfamilies are cruel.”
Hasty Generalization
Who is the superhero that carries an indestructible shield?
Captain America
What do you call a specific example that shows that a general statement is false?
Counterexample
Convert into converse statement: "If Caleb will watch the movie tomorrow, then I will come".
If I will come, then Caleb will watch movies tomorrow.
This theorem states that "“If a transversal line is perpendicular to one of two parallel lines, it is also perpendicular to the other parallel."
Perpendicular Transversal Theorem
Identify the fallacy: “You should buy Dyasnoure’s Brownies! Almost everyone buys it, therefore Dyasnoure’s brownies must be very tasty!”
Appeal by Popularity
It is a terrorist group in Marvel comics whose ultimate goal is world domination, led by Red Skull.
HYDRA
Identify if it is inductive or deductive: Caleb knows that the last three iPhones were released in September. Therefore, Apple will release new iPhones in September.
Inductive
Convert into biconditional statement: "If I am hungry, then I eat a snack."
I will eat a snack if and only if I am hungry.
This theorem states that "“If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.”
Alternate Exterior Angles Theorem
Identify the fallacy: “Mulan has two choices – either she stays at home and disappoint her father, or join the army disguised as a man and make her father proud.”
False Dilemma
He is the Father of Trigonometry.
Hipparchus