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SSS

SAS

Angle addition postulate

Segment Addition Postulate

postulate stating that when two triangles have corresponding s…

Triangles are congruent if any pair of corresponding sides and…

If point B lies in the interior of angle AOC, then. . The post…

SAP, if B is between segment AC, then AB+BC=AC

Law of Detachment

Law of Syllogism

Two Point Postulate

Line-Point Postulate

If the hypothesis of a true conditional statement is true, the…

Take two conditional statements and form a conclusion by combi…

Through any two points, there exists exactly one line.

A line contains at least two points.

Right Angle Congruence Theorem(RACT)

Vertical Angle Congruence Theorem(VACT)

Linear Pair Postulate(LPP)

Congruent (Comp.,Supp.) theorem

right angles are congruent

vertical angles are congruent

if 2 angles are a linear pair then they are supplementary

If two angles are (Comp.,Supp.) of the same angle then they ar…

definition of congruent segments

definition of congruent angles

definition of right angle

definition of midpoint

AB is congruent to CD... AB is equal to CD

m<ABC = m<DEF... <ABC is congruent to <DEF

<ABC is a right angle... m<ABC = 90 degrees

M is the midpoint of AB... AM is congruent to MB

Conjecture

Inductive Reasoning

Counterexample

Deductive Reasoning

an educated guess based on known information

reasoning that uses a number of specific examples to arrive at…

specific case for which a conjecture is false

method using logic to draw conclusions based upon definitions,…

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line

Through any two lines, there is exactly one point of intersect…

If two planes intersect they intersect at exactly one line

Through any three nonlinear points there is exactly one plane

supplement therom

complemnt therom

congruent supplement therom

congruent complemnts therom

two angles form a linear pair

two adjecent angles form a right angle

if two angles are sup. to the same angle then the angles are c…

if 2 angles are comp. to the same angle then the angles are co…

congruent supplements theorem

definition of complementary angles

Vertical angles theorem

Congruent supplements theorem

If two angles are complementary to congruent angles, then the…

If two angles add up to 90 degrees, then they are complementary

Vertical angles are congruent

If two angles are supplementary to congruent angles, the the t…

Conditional Statement

If-then Form

Hypothesis

Conclusion

A logical statement that has two parts, a hypothesis and a con…

The form of a conditional statement that uses the words "if" a…

The "if" part of a conditional statement written in if-then form

The "then" part of a conditional statement written in if-then…

Definition of Congruence

Definition of Midpoint

Definition of Segment Bisector

Definition of Angle Bisector

A line segment or a line are congruent to another if and only…

If a line segment's midpoint is given, it is split into two eq…

If a line, line segment, or plane bisects a segment, then it w…

If a line, line segment, or plane bisects an angle, then it wi…

Segment addition postulate

Definition of midpoint

Definition of segment bisector

Definition of congruent segments

If B is between A and C, then AB+BC= AC

P is the midpoint of segment AB and segment AP ≅ PB

A line, segment, ray, or plane that intersects the segment at…

DE ≅ FG... DE = FG

Vertical angles congruence theorem

Congruent supplements theorem

Linear pair postulate

Right angle congruence theorem

Angle 1 is congruent to angle 2 and angle 2 is congruent to an…

If angle 1 and angle 2 are supplementray and angle 2 and angle…

If two angles form a linear pair (180 line), then they are sup…

All right angles are congruent

Inductive reasoning

conjecture

counter examples

conditional statement

a type of reasoning that uses paterns to arrive at a conclusion.

the conclusion statement that was reached after incuctive reas…

an example that proves a statement to be false

a statement that can be written in if-then form. (P --> Q)

angle

Adjacent Angles

Alternate Exterior Angles

Alternate Interior Angles

Angles are created by two distinct rays that share a common en…

Angles in the same plane that have a common vertex and a... commo…

Alternate exterior angles are pairs of angles formed... when a th…

Alternate interior angles are pairs of angles formed... when a th…

Converse

Negation

Inverse

Contrapositive

Formed by switching the hypothesis and conclusion of a conditi…

Is the denial of a statement (add the word "not"). A statement…

Formed by negating both the hypothesis and conclusion of a con…

Formed by negating and switching the hypothesis and conclusion…

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line

Through any two lines, there is exactly one point of intersect…

If two planes intersect they intersect at exactly one line

Through any three nonlinear points there is exactly one plane