Conditionals
Deductive Reasoning
Definitions & Properties
Postulates & Theorems
Inductive Reasoning
100
A conditional statement is a logical statement that has two parts, a ________________ and a _______________.
What is hypothesis & conclusion?
100
______________ reasoning uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.
What is deductive?
100
If a =b, then a - c = b - c.
What is the subtraction property of equality?
100
Points x, y, and z are collinear. xy + yz = xz
What is the segment addition postulate?
100
The next two terms in the sequence of 1, 3, 5, 8, 11, 15, 19, 24, ____, ____
What is 29 & 35?
200

Given: If Jessica does her work, then she gets and A in Geometry. The converse to this conditional is...

What is "If Jessica gets an A in Geometry, then she does her work."

200
Given: If you pass the road test, then you will get your driver's license. Lexi passed the road test. This is the conclusion AND law used.
What is Lexi will get her driver's license. Law of Detachment.
200
a(b + c) = ab + ac
What is the distributive property?
200
The measure of angle ABD + the measure of angle DBE = the measure of angle ABE.
What is the angle addition postulate?
200
The next term in the sequence 1/2, 2/6, 3/18, 4/54, _____
What is 5/162
300
Given: If Jansen comes to Geometry, then he has fun. The converse to this conditional is....
What is Jansen has fun, then he comes to Geometry.
300
Given: Anthony goes to the movies every Friday and Saturday night. Today is Friday. This is the conclusion.
What is Anthony will go to the movies tonight?
300
For any segments AB, CD, and EF, if AB = CD and CD = EF, then AB = EF.
What is transitive property?
300
If angle Q and angle R form a right angle, then angle Q and angle R are complementary.
What is the complement theorem?
300
This is the truth value (and counter example if false) of the sum of two integers is always positive.
What is false? Counterexample will vary: ex: -13 + 2 = -11
400

Given: If Vera is in 6th block, then she is in Mr. Davis's class. The converse to this conditional is....

What is "If Vera is in Mr. Davis's class, then she is in 6th block."?

400
Given: If two angles have the same measure, then they are congruent. Measure of angle A equals measure of angle B. This is the conclusion.
What is angle A is congruent to angle B?
400
This is the transitive property of congruence.
What is if A is congruent to B and B is congruent to C, then A is congruent to C?
400
This is the theorem that supports the following statement: Angle 1 and angle 3 are vertical angles; therefore, angle 1 is congruent to angle 3.
What is the vertical angles theorem?
400
This is the truth value (and counterexample if false) of all states in the US share a border with another state.
What is false? (counterexample: Alaska or Hawaii)
500
Given: If the sum of two angles form a linear pair, then they are supplementary. The bi-conditional AND the truth value of the bi-conditional are...
What is bi-conditional: "The sum of two angles form a linear pair if and only if they are supplementary". Truth value: False (converse is false)
500
If Marlo gets a job, then she can afford a car. If Marlo can afford a car, then she will drive to school. This is the conclusion & law used.
What is If Marlo gets a job, then she will drive to school? Law of Syllogism.
500

If a = b, then b = a. 

What is the symmetric Property

500
This is the theorem that supports the following statement: If the measure of angle 1 + the measure of angle 2 = 180, and the measure of angle 2 + the measure of angle 3 = 180, then angle 1 is congruent to angle 3.
What is the congruent supplements theorem?
500
This is the truth value (and counter example if false) of if a figure has four congruent angles, then it is a square.
What is false? (Counterexample: rectangle)
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