Postulates
What is a postulate?
a basic rule that is accepted as true without proof
If AB= CD then CD=AB.
What is a midpoint?
A point, ray, or line that cuts a segment in two equal halves
Show perpendicular lines with your arms
(form a T)
What is the Segment Addition Postulate?
Segment AB + segment BC = segment AC.
What is the Right Angles Congruence Theorem?
All right angles are congruent.
What are adjacent angles?
Angles that are next to each other (share a common vertex)
Give an example of a conditional statement.
If ...., then ...
What is the Reflexive Property?
anything is equal/ congruent to itself.
Vertical angles are congruent.
What is an angle bisector?
A ray that cuts an angle into 2 equal smaller angles
What is a counterexample?
An example that disproves a conjecture.
What is the angles addition postulate?
if a point or ray lies in the interior of an angle, the measure of the large angle equals the sum of the two smaller adjacent angles
What is the Transitive Property of Angle Congruence?
If angle A = angle B, and angle B = angle C, then angle A = angle C.
...... IF AND ONLY IF ......
List 4 of the Algebraic Properties.
Addition POE, Subtraction POE, Multiplication POE, Division POE, Substitution POE, Distributive Property
What is the Linear Pair Postulate?
If 2 angles form a linear pair then they are supplementary.
What is the Congruent Supplements Theoren?
If 2 angles are supp. to the same angle, then the 2 angles are congruent.
What is the negation of a statement?
The opposite of the original statement (adds the word not)
What is a conjecture?
an unproven statement that is based on observations
What is the Congruent Complements Theorem?
If 2 angles are comp. to the same angle, then the 2 angles are congruent.
How is deductive reasoning different from inductive reasoning?
Deductive reasoning uses definitions and facts whereas inductive reasoning involves finding patterns based on observations
What is the contrapositive to a conditional statement?
If not q, then not p.