# Study sets matching "geometry vocabulary proofs"

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Deductive reasoning

Proof

Two column proof and paragraph proofs

Theorem

Process of reasoning logically from given statements or facts…

Convincing argument using deductive reasoning. Logically shows…

A. Lists each statement on the left and the justification of e…

Conjecture or statement that you prove true.

Deductive reasoning

Process of reasoning logically from given statements or facts…

Proof

Convincing argument using deductive reasoning. Logically shows…

reflexive property

symmetric property

transitive property

addition postulate

A quantity is congruent (equal) to itself. a = a

If a = b, then b = a.

If a = b and b = c, then a = c.

If equal quantities are added to equal quantities, the sums ar…

reflexive property

A quantity is congruent (equal) to itself. a = a

symmetric property

If a = b, then b = a.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Inductive Reasoning

Conjecture

Deductive Reasoning

Conjunction

Inductive reasoning is reasoning in which the premises are vie…

The formation or expression of an opinion or theory without su…

Based on deduction from accepted premises, as in deductive arg…

A compound statement formed by joining two statements with the…

Inductive Reasoning

Inductive reasoning is reasoning in which the premises are vie…

Conjecture

The formation or expression of an opinion or theory without su…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a= r and a + b = c... Then r + b = c

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

conjecture (2-1)

inductive reasoning (2-1)

counter example (2-1)

statement (2-2)

Educated guess based on known information

This is reasoning that uses a number of specific examples to a…

One false example of a solution that makes a conjecture not tr…

Any sentence that is either true or false.

conjecture (2-1)

Educated guess based on known information

inductive reasoning (2-1)

This is reasoning that uses a number of specific examples to a…

Inductive Reasoning

Conjecture

Deductive Reasoning

Conjunction

A type of logic in which generalizations are based on a large…

the expression of or formulation of a theory without sufficien…

Decision making process in which ideas are processed from the…

a word that joins words or word groups

Inductive Reasoning

A type of logic in which generalizations are based on a large…

Conjecture

the expression of or formulation of a theory without sufficien…

Segment

Ray

Opposite rays

Postulates

part of a line with 2 endpoints, labeled with 2 points and a l…

A part of a line, with one endpoint, that continues without en…

Two rays with the same end point and they form a line

Statements that are accepted as true without proof

Segment

part of a line with 2 endpoints, labeled with 2 points and a l…

Ray

A part of a line, with one endpoint, that continues without en…

Definition of Congruent Segments

Definition of Midpoint

Definition of Segment Bisector

Right Angle

Segments that have the same length

M is the midpoint of AB if AM=MB

Any segment, line, or plane that intersects a segment at its m…

measure is 90

Definition of Congruent Segments

Segments that have the same length

Definition of Midpoint

M is the midpoint of AB if AM=MB

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

biconditional

conclusion

conditional

converse

use the words "if and only if" to connect a conditional to its…

the part following "then" in a conditional

and "if" - "then" statement

switches the hypothesis and the conclusion

biconditional

use the words "if and only if" to connect a conditional to its…

conclusion

the part following "then" in a conditional

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Adding the same number to each side of an equation produces an…

States that when both sides of an equation have the same numbe…

States that when both sides of an equation are multiplied by t…

States that when both sides of an equation are divided by the…

Addition Property of Equality

Adding the same number to each side of an equation produces an…

Subtraction Property of Equality

States that when both sides of an equation have the same numbe…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Definition of midpoint

Segment Addition Postulate

Angle Addition Postulate

Def. Complementary Angles

The point halfway between two given points.

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

If given two adjacent angles, then angle ABD + Angle DBC = Ang…

two angles with measures that sum to 90 degrees

Definition of midpoint

The point halfway between two given points.

Segment Addition Postulate

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

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Inductive Reasoning

Conjecture

Deductive Reasoning

Conjunction

A type of logic in which generalizations are based on a large…

the expression of or formulation of a theory without sufficien…

Decision making process in which ideas are processed from the…

a word that joins words or word groups

Inductive Reasoning

A type of logic in which generalizations are based on a large…

Conjecture

the expression of or formulation of a theory without sufficien…

Definition of Congruence

Definition of Bisector

Definition of Midpoint

Definition of Supplementary angles

switch between saying the lengths are equal to being congruent

to break into 2 different parts

the middle value creates 2 equal segments

sum of 2 angles that equal 180

Definition of Congruence

switch between saying the lengths are equal to being congruent

Definition of Bisector

to break into 2 different parts

adjacent angles

vertical angles

complementary angles

supplementary angles

share a vertex, have common side, no common interior points

Two nonadjacent angles formed by two intersecting lines

two angles whose sum is 90

two angles whose sum is 180

adjacent angles

share a vertex, have common side, no common interior points

vertical angles

Two nonadjacent angles formed by two intersecting lines

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

The property that states that if you add the same number to bo…

The property that states that when both sides of an equation h…

The property that states that when both sides of an equation a…

The property that states that if you divide both sides of an e…

Addition Property of Equality

The property that states that if you add the same number to bo…

Subtraction Property of Equality

The property that states that when both sides of an equation h…

definition of angle bisector

definition of parallel lines

definition of perpendicular lines

definition of perpendicular bisector

a ray that divides and angle into two congruent angles <abx≅cbx

lines that are the same perpendicular distance apart and do no…

lines that form right angles <abc is a right angle

perpendicular bisector of a segment is a line, segment or ray…

definition of angle bisector

a ray that divides and angle into two congruent angles <abx≅cbx

definition of parallel lines

lines that are the same perpendicular distance apart and do no…

Definition of Congruence

Definition of Bisector

Definition of Midpoint

Definition of Supplementary angles

switch between saying the lengths are equal to being congruent

to break into 2 different parts

the middle value creates 2 equal segments

sum of 2 angles that equal 180

Definition of Congruence

switch between saying the lengths are equal to being congruent

Definition of Bisector

to break into 2 different parts

Addition Property of Congruence

Distribution Property of Congruence

Subtraction Property of Congruence

Multiplication Property of Congruence

If a=b then a+c=b+c

a(b+c) is congruence to ab+ac

If a=b, then a-c=b-c

Doubles of of congruent quantities are cogruent

Addition Property of Congruence

If a=b then a+c=b+c

Distribution Property of Congruence

a(b+c) is congruence to ab+ac