# Study sets matching "geometry vocabulary proofs"

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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 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

a = a

If a = b... Then b = a

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

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

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

Reflexive Property of Equality

If a = b... Then b = a

Symmetric Property of Equality

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Inductive Reasoning

Conjecture

Counterexample

Conditional

is a type of reasoning that reaches conclusions based on a pat…

is a conclusion reached by using inductive reasoning.... ex: As y…

an example showing that a statement is false.... ex:... STATEMENT: A…

is an "if-then" statement.... ex: If you act politely, then you w…

Inductive Reasoning

is a type of reasoning that reaches conclusions based on a pat…

Conjecture

is a conclusion reached by using inductive reasoning.... ex: As y…

Linear Pair Theorem

Congruent Supplements Theorem

Vertical Angles theorem

Right angle congruence Theorem

1.<1 and <2 form a linear pair 1.Given... 2.Lines BA and BC form…

1.<1 and <2 are supplementary , 1. Given... <2 and <3 are supplem…

1.Diagram at right 1. given... 2.<1+<2 form a linear pair 2. Def…

1.<1&<2 are complementary 1.Given... <2&<3 are complementary 2.De…

Linear Pair Theorem

1.<1 and <2 form a linear pair 1.Given... 2.Lines BA and BC form…

Congruent Supplements Theorem

1.<1 and <2 are supplementary , 1. Given... <2 and <3 are supplem…

Segment Addition Postulate

Definition of a Congruent

Definition of a Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and C…

Segments or angles that have the same measure (Used when you s…

a line or segment that intersects a segment or angle and divid…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and C…

Definition of a Congruent

Segments or angles that have the same measure (Used when you s…

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 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

If three points A, B, C are collinear a…

Segments that have the same length (Use…

a line, segment, ray, or plane that int…

If M is the midpoint of AB, then AM = M…

Segment Addition Postulate

Definition of a Congruent Segment

Definition of a Segment Bisector

Midpoint Theorem

If three points A, B, C are collinear a…

Segment Addition Postulate

Segments that have the same length (Use…

Definition of a Congruent Segment

Segment Addition Postulate

Same Side Interior Angle Theorem

Isosceles Triangle Theorem

No Choice Theorem / 3rd Angles Theorem

If three points A, B, and C are collinear and B is between A a…

If two lines are cut by a transversal, the same side interior…

If two sides of a ∆ are congruent, then the angles opposite th…

If two angles of a ∆ are congruent to two angles of another ∆,…

Segment Addition Postulate

If three points A, B, and C are collinear and B is between A a…

Same Side Interior Angle Theorem

If two lines are cut by a transversal, the same side interior…

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

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

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

Definition of Segment Bisector

Definition of Midpoint

Definition of Congruent Segments

Segment Addition Postulate (SAP)

A segment bisector intersects a segment at it's midpoint

A midpoint is a point that divides a line segment into 2 congr…

Congruent segments have equal length

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

Definition of Segment Bisector

A segment bisector intersects a segment at it's midpoint

Definition of Midpoint

A midpoint is a point that divides a line segment into 2 congr…

Definition of Segment Bisector

Definition of Midpoint

Definition of Congruent Segments

Segment Addition Postulate (SAP)

A segment bisector intersects a segment at it's midpoint

A midpoint is a point that divides a line segment into 2 congr…

Congruent segments have equal length

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

Definition of Segment Bisector

A segment bisector intersects a segment at it's midpoint

Definition of Midpoint

A midpoint is a point that divides a line segment into 2 congr…

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 Statement

Conjecture

the conjunction of a conditional statement and its converse wi…

in a conditional, the statement that follows the word "then"

a statement that can be written in "if-then form"

an educated guess based on known info.

Biconditional

the conjunction of a conditional statement and its converse wi…

Conclusion

in a conditional, the statement that follows the word "then"

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

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If A=B, then A+C=B+C

If A=B, then A-C=B-C

If A=B, then AC=BC

If A=B and C is not equal to 0, then A/C=B/C

Addition Property of Equality

If A=B, then A+C=B+C

Subtraction Property of Equality

If A=B, then A-C=B-C

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Side-Side-Side Similarity (SSS ~)

Side-Angle-Side Similarity (SAS ~)

Angle-Angle Similarity (AA ~)

Corresponding Angles In Parallel Lines

Where 3 sides of one triangle are proportional to 3 correspond…

Where 2 sides of one triangle are proportional to 2 correspond…

Where 2 angles of one triangle are congruent to 2 angles of an…

Are Congruent

Side-Side-Side Similarity (SSS ~)

Where 3 sides of one triangle are proportional to 3 correspond…

Side-Angle-Side Similarity (SAS ~)

Where 2 sides of one triangle are proportional to 2 correspond…

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