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Parallels Schmarallels
You Can't Handle the PROOF!
100
An "if-then" statement is called this.
What is a conditional?
100
These are the two main laws of logic.
What are the Laws of Detachment and Syllogism?
100
The supplement to 130 degrees is this.
What is 50 degrees?
100
This intersects any group of parallel lines.
What is a transversal?
100
The proof of 5x + 1 = 21 is this.
What is:
5x + 1 = 21 (Given)
5x = 20 (Subtraction P.O.E.)
x = 4 (Division P.O.E., Q.E.D.) ?
200
The hypothesis in the statement, "If you are a teenager, then you are younger than 20," is this.
What is "you are a teenager"?
200
This is the conclusion if given the following:
"If three points are on the same line, then they are collinear. Points X, Y, and Z are on line m."
What is "Points X, Y, and Z are collinear"?
200
z is the complement of 55. This is the value of z.
What is 35?
200
Name this supplementary pair of exterior angles.
What are consecutive exterior angles?
200
This property of equality/congruence is represented here: "A = S and S = K; A = K."
What is the Transitive Property of EQUALITY?
300
The inverse of the statement, "If you live in Natchitoches, then you live in Louisiana" is this.
What is "If you do not live in Natchitoches, then you do not live in Louisiana"?
300
This is the main difference between deductive and inductive reasoning.
What is deductive reasoning uses a series of facts and logic to draw conclusions, while inductive reasoning bases conclusions on patterns and unproved (but possibly true) conjectures?
300
This is half of a bisected right angle's complement.
What is 22.5 degrees?
300
This is the measure of the alternate exterior angle, if their represented expressions are 3x - 33 and 2x + 26.
What is 144 degrees?
300
This postulate states that an angle is the sum of its parts.
What is the Angle Addition Postulate?
400
The truth value of the statement, "If two lines are not coplanar, then they are not parallel" is this.
What is TRUE?
400
This is the conclusion if given the following:
"If it is September, then you are in school. If you are in school, then you are taking a geometry course."
What is "If it is September, then you are taking a geometry course"?
400
This is the truth value of this statement: "Angles are supplementary if and only if they form a linear pair."
What is false?
400
Any of these angle-pair relationships can prove lines to be parallel.
(Name at least four.)
What are corresponding angles, alternate interior angles, alternate exterior angles, consecutive interior angles, consecutive exterior angles?
400
This is the proof of the following:
Given: L lies between points K and M. KL = 2x - 5; LM = 2x; KM = 35
Prove: KL = 15
What is:
L lies between points K and M (Given)
KL + LM = KM (Segment Addition Postulate)
2x - 5 + 2x = 35 (Substitution P.O.E.)
4x - 5 = 35 (Combine Like Terms)
4x = 40 (Addition P.O.E.)
x = 10 (Division P.O.E.)
KL = 2(10) - 5 (Substitution P.O.E.)
KL = 20 - 5 (Simplify)
KL = 15 (Simplify, Q.E.D.)
500
DAILY DOUBLE!!!!!!!!!!!!!!!!
The biconditional of the statement "An oxymoron is a phrase that contains contradictory terms" is this.
What is "An oxymoron is a phrase if and only if it contains contradictory terms"?
500
This is the error in the following logical argument:
"Birds that weigh more than 50 pounds cannot fly. A penguin cannot fly, therefore a penguin weighs more than 50 pounds."
What is the Law of Detachment cannot be applied, because the hypothesis was not verified?
500
This is the value of x if the supplement of 3x + 31 is 2x - 6.
What is 31?
500
These are the values of each variable.
(See diagram.)
What are x = 29 and y = 110?
500
This is the reason why segment LR is congruent to RL and angle ABC is congruent to angle CBA by the Reflexive Property of Congruence.
What is LR and RL are two ways to name the same segment and ABC and CBA are two ways to name the same angle?