#### Study sets matching "geometry vocabulary proofs"

#### Study sets matching "geometry vocabulary proofs"

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 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…

acute angle

acute triangle

adjacent angles

altitude of a triangle

an angle whose measure is between 0° and 90°

a triangle that has all angles less than 90°

two angles having the same vertex and having a common side bet…

a line that extends from one vertex of a triangle perpendicula…

acute angle

an angle whose measure is between 0° and 90°

acute triangle

a triangle that has all angles less than 90°

Reflexive

Symmetric

Transitive

Substitution

a quantity is equal to itself

an equality maybe expressed in either order

if equal quantities are equal to the same quantity then they a…

a quantity may be substituted for its equal

Reflexive

a quantity is equal to itself

Symmetric

an equality maybe expressed in either order

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

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

Angle Addition Postulate

Reflexive Property

XY≅VW, so VW≅XY

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

If D is on the interior Angle ABC then Angle ABD+DBC=ABC

AB ≅ AB or equal too( line on top of letters)

Symmetric

Segment Addition Postulate

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

Angle Addition Postulate

If D is on the interior Angle ABC then Angle ABD+DBC=ABC

Postulates (axioms)

Theorems

Reflexive

Symmetric

statement that seems to "obvious" that we accept them without…

a statement that is provided by deductive reasoning

a quantity is equal to itself

if equal quantities are equal to the same quantity then they a…

Postulates (axioms)

statement that seems to "obvious" that we accept them without…

Theorems

a statement that is provided by deductive reasoning

Congruent segment

Segment addition postulate

Substitution

Division property

Segments have same measure ... AB=CD... (Line over AB and CD) ... AB=CD

If b is between a and c, then ab+bc=AC

Solving one equation for one variable and plugging it back in…

5x=20... X=4

Congruent segment

Segments have same measure ... AB=CD... (Line over AB and CD) ... AB=CD

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

Perpendicular Lines

Segment Bisector

Angle Bisector

Midpoint

Two lines that intersect to form right angles... Given: Line AB…

A point, ray, or plane that intersects a segment at its midpoi…

The ray that divides the angle into two congruent adjacent ang…

The point that divides the segment into two congruent segments…

Perpendicular Lines

Two lines that intersect to form right angles... Given: Line AB…

Segment Bisector

A point, ray, or plane that intersects a segment at its midpoi…

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

Parallel Lines

Skew lines

Perpendicular lines

Midpoint

Two coplanar lines that do not intersect

Two lines that do not intersect but are parallel

Two lines that intersect to form a right angle

The point that divides, or bisects, the segment into two congr…

Parallel Lines

Two coplanar lines that do not intersect

Skew lines

Two lines that do not intersect but are parallel

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…

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

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…

Angle addition postulate

Segment addition postulate

Linear Pair Postulate

Vertical Angles Theorem

Measure of an angle equals sum of pairs

Measure of a segment equals sum of its parts

If two angles form a linear pair then they are supplementary

Vertical angles are congruent

Angle addition postulate

Measure of an angle equals sum of pairs

Segment addition postulate

Measure of a segment equals sum of its parts

Right angles

Straight angles

Complements of the same angle

Complements of congruent angles

If two angles are ________ _________, they are congruent.

If two angles are ________ ______, they are congruent.

If two angles are ______ of the same ______, they are congruen…

If two angles are _____ of ______ _______, they are congruent.

Right angles

If two angles are ________ _________, they are congruent.

Straight angles

If two angles are ________ ______, they are congruent.

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

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

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

adding the same thing to both sides

subtracting the same thing to both sides

multiplying the same thing on both sides

dividing the same thing on both sides

addition property of equality

adding the same thing to both sides

subtraction property of equality

subtracting the same thing to both sides

Reflexive Property of Equality

Transitive Property of Equality

Segment Addition Postulate

Angle Addition Postulate

a = a

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

Reflexive Property of Equality

a = a

Transitive Property of Equality

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

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…