# Study sets matching "geometry chapter 2 formulas"

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Two Point Postulate

Line-Point Postulate

Line Intersection Postulate

Three Point Postulate

Through any two points, there exists exactly one line.

A line contains at least two points.

If two lines intersect, then their intersection is exactly one…

Through any three noncolliner points, there exists exactly one…

Two Point Postulate

Through any two points, there exists exactly one line.

Line-Point Postulate

A line contains at least two points.

Midpoint

Segment bisector

Bisect

Angle bisector

point on the segment that divides it into 2 congruent segments

a segment, ray, line, or plane that intersects a segment at it…

divide the segment into 2 congruent segments

a ray that divides an angle into 2 angles that are congruent

Midpoint

point on the segment that divides it into 2 congruent segments

Segment bisector

a segment, ray, line, or plane that intersects a segment at it…

Law of Syllogism

Law of Detachment

Deductive Reasoning

Conditional

Allows you to state a conclusion from two true conditional sta…

If a conditional is true and its hypothesis is true, then the…

Reasoning logically from given statements to a conclusion.

An if-then statement.

Law of Syllogism

Allows you to state a conclusion from two true conditional sta…

Law of Detachment

If a conditional is true and its hypothesis is true, then the…

inductive reasoning

conjecture

counterexample

figural numbers

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

the concluding statement that is reached using inductive reaso…

a false example that can be used to prove that a conjecture is…

numbers that can be represented by evenly spaced points arrang…

inductive reasoning

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

conjecture

the concluding statement that is reached using inductive reaso…

Linear Pairs Theorem

Supplementary Angles

Straight Angle

Complementary Angles

Two angles that form a line and are adjacent (right next to ea…

Two or more angles that add to 180 degrees.

Another name for a line. Emphasizes that a line has a 180 degr…

Two or more angles that add to 90 degrees.

Linear Pairs Theorem

Two angles that form a line and are adjacent (right next to ea…

Supplementary Angles

Two or more angles that add to 180 degrees.

conjecture

converse

counterexample

deductive reasoning

an educated guess about what will always be true

a statement formed by interchanging the hypothesis and conclus…

a false example that shows a conjecture is not always true

using rules of logic to reach a conclusion

conjecture

an educated guess about what will always be true

converse

a statement formed by interchanging the hypothesis and conclus…

Venn diagram

locus

inductive reasoning

conjecture

A concept map of overlapping circles or ovals that shows the r…

The set of all points that satisfy some given conditions.

The process of observing data, recognizing patterns, and makin…

A generalization resulting from inductive reasoning.

Venn diagram

A concept map of overlapping circles or ovals that shows the r…

locus

The set of all points that satisfy some given conditions.

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

It is used to draw a conclusion based on a pattern.

A statement that is believed to be true.

It is an example that proves a conjecture or statement is fals…

A statement written in if then form with a hypothesis and conc…

Inductive Reasoning

It is used to draw a conclusion based on a pattern.

Conjecture

A statement that is believed to be true.

transversal

Angle 2 and Angle 7,... Angle 3 and Angle 6

Angle 1 and Angle 8,... Angle 5 and Angle 4

Angle 1 and Angle 3,... Angle 2 and Angle…

line that intersects two or more other lines in the plane

The horizontal lines are parallel. Identify the alternate inte…

The horizontal lines are parallel. Identify the alternate exte…

The horizontal lines are parallel. Identify the corresponding…

transversal

line that intersects two or more other lines in the plane

Angle 2 and Angle 7,... Angle 3 and Angle 6

The horizontal lines are parallel. Identify the alternate inte…

algebraic proof

axiom

compound statement

conclusion

a method to prove statements using properties that justify eac…

any mathematical statement that serves as a starting point fro…

two statements put together and formed into a sentence... example…

The "q or then" in a conditional statement

algebraic proof

a method to prove statements using properties that justify eac…

axiom

any mathematical statement that serves as a starting point fro…

conclusion

converse

contrapositive

law of syllogism

"then" part of a conditional statement

switch the if and then of a conditional (q -> p)

negate and switch the if and then (not q -> not p)

conclusion

"then" part of a conditional statement

converse

switch the if and then of a conditional (q -> p)