Conditional
Statements
Statements
A conditional statement is a logical statement that has two parts, a _________________ and a __________________.
What is hypothesis and conclusion?
________________ reasoning uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.
What is Deductive?
Through any two ____________ there is exactly one line.
What is Points?
Why? If a = b, then a – c = b – c.
What is the Subtraction Property of Equality?
A statement that is proved by reasoning deductively from already accepted statements.
What is a Theorem?
The Converse
What is the statement found by interchanging the hypothesis and conclusion in a conditional statement?
_______________ reasoning uses specific examples and patterns to form a conjecture.
What is Inductive?
Fill in the blank: A plane contains at least ______________ noncollinear points.
What is Three?
Why? a(b+c) = ab + ac, where a, b, and c are real numbers.
What is the Distributive Property?
An argument of the form: a➙b and b➙c, therefore a➙c
What is a Syllogism?
Given: If Willow goes to geometry class, then she has fun. New: If Willow has fun, then she goes to geometry class.
What is the Converse?
Make a valid conclusion: Antony goes to the movies every Friday and Saturday night. Today is Friday.
What is "Antony will go to the movies tonight"?
Fill in the blank: If two planes intersect, then their intersection is a ___________.
What is "Line"?
Why? For any segments AB, CD, and EF, if AB = CD and CD = EF, then AB = EF.
What is the Transitive Property?
A proof which begins with the assumption of the opposite of the desired conclusion.
What is an Indirect Proof?
The interior of the smaller circle.
What is the portion of the Euler diagram that represents the hypothesis?
Make a valid conclusion: If two angles have the same measure, then they are congruent. We have that m∠A=m∠B.
What is ∠A ≅ ∠B?
Fill in the blank: If two points lie in a plane, then the ______________ containing them lies in the plane.
What is "Line"?
Why? If y=2x + 11 and x=4, then y=2(4)+11
What is "Substitution"?
The result of: If Sandra gets a job, then she can afford a car. If Sandra can afford a car, then she will drive to school.
What is "If Sandra gets a job, then she can drive to school" ?