VOCABULARY
What are the two parts of a conditional statement?
Hypothesis and conclusion
How many points determine a line?
Two points
What is the sum of the angles in any triangle?
180°
What is the formula for the circumference of a circle with diameter d?
C=πd
A chain of reasoning “If A → B and B → C, then A → C” is called a ________.
Syllogism
A statement accepted without proof is called a ________.
Postulate
How many noncollinear points determine a plane?
Three noncollinear points
The Pythagorean Theorem applies only to what type of triangle?
Right triangle
What is the formula for the circumference using radius r?
C=2πr
A direct proof begins with known _________.
Premises
What do we call a statement that must be proven true?
Theorem
A postulate is accepted without _________.
Proof
In the Pythagorean Theorem, the longest side of the triangle is called the ________.
Hypotenuse
What is the formula for the area of a circle?
A=πr2
An indirect proof is also called proof by ________.
Contradiction
“If and only if” means the statement is true in how many directions?
Both directions
True or false: Postulates can never be used in proofs.
False
Which theorem states that a2+b2=c2?
Pythagorean Theorem
If a circle has radius 5, what is its area?
25π or 78.5398
A diagram that shows relationships between sets or statements is called a(n) ________.
Euler diagram
A word whose meaning is agreed upon but not formally defined is called a(n) ________.
Undefined term
Which postulate explains why you only need two points to sketch a straight line?
Two Points Determine a Line Postulate
Which theorem states that the angles of a triangle add to 180°?
Triangle Angle Sum Theorem
If a circle has diameter 12, what is its circumference?
12π or 37.6991
The converse of a conditional statement does what?
Reverses the hypothesis and conclusion