#### Study sets matching "geometry chapter 2 formulas"

#### Study sets matching "geometry chapter 2 formulas"

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…

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.

conjecture

counterexample

deductive reasoning

inductive reasoning

a statement you believe to be true based on inductive reasoning

a drawing, statement, or number that shows that a conjecture i…

the process of using logic to draw conclusions from given fact…

the process of reasoning that a rule or statement is true beca…

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

a drawing, statement, or number that shows that a conjecture i…

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.

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

The process of reasoning that a rule or statement is true beca…

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" wher…

Inductive Reasoning

The process of reasoning that a rule or statement is true beca…

Conjecture

A statement that is believed to be true

Biconditional statement

Conditional statement

Conjecture

Contrapositive

a single statement that combines a conditional statement and i…

and If-then statement. ... p->q

a conclusion you make based on inductive reasoning

the negation and converse... ~q->~p

Biconditional statement

a single statement that combines a conditional statement and i…

Conditional statement

and If-then statement. ... p->q

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…

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

The process of reasoning that a rule or statement is true beca…

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" wher…

Inductive Reasoning

The process of reasoning that a rule or statement is true beca…

Conjecture

A statement that is believed to be true

alternate interior angles

conjecture

line

proof by contradiction

inside the parallel lines, opposite sides of the transversal

An educated guess

A straight, unbroken set of points that goes on forever. It ha…

a form of proof that establishes the truth or validity of a pr…

alternate interior angles

inside the parallel lines, opposite sides of the transversal

conjecture

An educated guess

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side, b…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

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)

Inductive Reasoning

Counterexample

Conditional Statements

Converse

Uses patterns to draw conclusions

A specific case for which a conjecture is false.

A logical statement with a hypothesis and a conclusion... If (hyp…

A conditional statement with the hypothesis and conclusion rev…

Inductive Reasoning

Uses patterns to draw conclusions

Counterexample

A specific case for which a conjecture is false.

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…

Conditional (p = hypothesis, q = conclu…

Converse of conditional

Bioconditional

Law of Detachment

If p, then q... symbolic form p -> q

If q, then p... symbolic form q ->p

p if and only if q... symbolic form p <-->q

Given a true conditional p -> q: If p (hypothesis) is true, th…

Conditional (p = hypothesis, q = conclu…

If p, then q... symbolic form p -> q

Converse of conditional

If q, then p... symbolic form q ->p

counterexample

conjecture

conditional statement

hypothesis

Used to show that a conjecture is false.

a statement you believe to be true based on inductive reasonin…

a statement that can be written in the form "if p, then q"

the part p of a conditional statement following the word if.

counterexample

Used to show that a conjecture is false.

conjecture

a statement you believe to be true based on inductive reasonin…

Line

Point

Plane

Space

A "straight" arrangement of an infinite set of points. A strai…

A basic unit of geometry used to represent position or locatio…

A flat, two-dimensional surface that extends infinitely far. H…

The set of all points.

Line

A "straight" arrangement of an infinite set of points. A strai…

Point

A basic unit of geometry used to represent position or locatio…

Inductive Reasoning

Deductive Reasoning

Hypothesis

Conclusion

Find a pattern in specific cases and then write a conjecture f…

Reasoning that uses facts, definitions, accepted properties, a…

The "if" part of a conditional statement.

The "then" part of a conditional statement.

Inductive Reasoning

Find a pattern in specific cases and then write a conjecture f…

Deductive Reasoning

Reasoning that uses facts, definitions, accepted properties, a…