# Study sets matching "geometry proofs"

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

Segment Addition Postulate

Definition of a Congruent Segment

Definition of a Segment Bisector

Definition of a Midpoint

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

Segments that have the same length (Used when you switch from…

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

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 Segment

Segments that have the same length (Used when you switch from…

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

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…

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

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

Complementary

Vertical angles

Substitution/ transitive

Perpendicular

Two angles that the sum equals 90°

each of the pairs of opposite angles made by two intersecting…

If a is congruent to B and B is congruent to c, then a is cong…

Two lines that intersect and form a right angle.

Complementary

Two angles that the sum equals 90°

Vertical angles

each of the pairs of opposite angles made by two intersecting…

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

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

angle with a measure less than 90

2 angles that lie next to each other on…

ray that divides an angle into 2 congru…

having the same measure

acute angle

adjacent angles

angle bisector

congruent

angle with a measure less than 90

acute angle

2 angles that lie next to each other on…

adjacent angles

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

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…

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

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

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 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…