# Study sets matching "geometry vocabulary proofs"

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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

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 congruent segments

Definition of a midpoint

Angle addition postulate

AB+BC=AC

segments that have the same length... if congruent then they are…

The point that divides the segment into two congruent segments…

If P is in the interior of <RST then m<RSP+ m<PST= m<RST

segment addition postulate

AB+BC=AC

Definition of congruent segments

segments that have the same length... if congruent then they are…

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

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

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

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…

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

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

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

Definition of A Midpoint

Definition of A Segment Bisector

Definition of A Congruent Segment

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

P is the midpoint of A̅B̅ and.... ↔ A̅P̅ ≅ P̅B̅

If a line, segment, ray or plane is a segment bisector ↔ then…

D̅E̅ ≅ F̅G̅ ↔DE=FG... conversion

Segment Addition

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

Definition of A Midpoint

P is the midpoint of A̅B̅ and.... ↔ A̅P̅ ≅ P̅B̅

Right Angle

Angle Bisector

Segment Bisector

Perpendicular

An angle measuring 90 degrees

A ray that cuts an angle in half

a line, ray, segment that cuts an angle in half

Lines that intersect to form right angles

Right Angle

An angle measuring 90 degrees

Angle Bisector

A ray that cuts an angle in half

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

Any figure is congruent to itself

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

Any figure is congruent to itself

Symmetric Property of Equality

If a = b... Then b = a