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If today is Monday ____ tomorrow is Tuesday.
Then
What is a biconditional statement?
P is only possible if and only if Q is possible.
What is the Addition Property?
Add to both sides of an equation.
What should the first reason always be in a two-column proof?
Given.
What is the two-point postulate?
Through any two points, there exists exactly one line.
An ”if-then” statement that has two parts has a hypothesis and a __________
Conclusion
What is the inverse of the given statement?
If today is Monday, then tomorrow is Tuesday.
If today is not Monday, then tomorrow is not Tuesday.
What is the Reflexive Property?
To have the exact same thing on each side of the = sign.
Where does the proof go in a statement?
At the end.
What is the three-point postulate?
Through any three noncollinear points, there exists exactly one plane.
If points are on the same line then they are collinear.
True or False?
True
What is the contra-positive of the given if-then statement?
If you live in Dallas, then you live in Texas.
If you do not live in Texas, then you do not live in Dallas.
What is the Symmetric Property?
Flipping what’s on each side of the = sign.
What POE is shown below?
AB + BC = AC and DE + EF = DF
AB = DE
Substitution Property of Equality.
What is the Line Intersection Postulate?
If two lines intersect, then their intersection is exactly one point,
Inductive reasoning is when you make an _________ from a given pattern.
Observation
If John Brown has over $1,500 in his bank account, then he will buy a new computer. John Brown as over $2,000 in his bank account. Conclusion: John Brown will buy a new computer.
What Law is this an example of?
The Law of Detachment
What is the Transitive Property?
To show two values as the same since they both equal a common value.
What is the name of the theorem shown below?
Angle 1 and 2 are supplementary.
Linear Pair Theorem.
What is the Plane-Line Postulate?
If two points lie in a plane, then the line containing them lies in the plane.
What is the converse of the given statement?
If today is Monday, then tomorrow is Tuesday.
If tomorrow is Tuesday, then today is Monday.
What is the Law of Syllogism? (use p, q, and r)
If p, then q. If q, then r. Therefore, if p is true than r is true.
What is the Substitution Property?
To replace a value with its equivalent.
Fill in the blank:
Angle 1 and 2 are right angles. [Given]
mAngle 1 = 90, mAngle 2 = 90. [Def. of a right angle]
mAngle 1 = mAngle 2. [______________]
Angle 1 = Angle 2. [Def. of congruent angles]
Transitive Property of Equality
What is the Plane Intersection Postulate?
If two planes intersect, then their intersection is a line.