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

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

equality addition property

equality subtraction property

equality multiplication property

equality division property

if a = b and c = d, then a+c = b+d

if a = b and c = d, then a-c = b-d

if a = b, then ca = cb

if a = b and c does not = 0, then a/c = b/c

equality addition property

if a = b and c = d, then a+c = b+d

equality subtraction property

if a = b and c = d, then a-c = b-d

Median

Midpoint

Line Bisector

Angle Bisector

A median divides a segment into two congruent segments

A midpoint divides a segment into two congruent segments

A line bisector divides a segment into two congruent segments

An angle bisector divides an angle into two congruent angles

Median

A median divides a segment into two congruent segments

Midpoint

A midpoint divides a segment into two congruent segments

If two lines are parallel and are cut…

If two lines are parallel and cut by a…

If two lines are parallel and cut by a…

If two lines are cut by a traversal an…

conventional statement

conventional statement

conventional statement

converse statement

If two lines are parallel and are cut…

conventional statement

If two lines are parallel and cut by a…

conventional statement

Reflexive Property

Transitive Property

Symmetric Property

Addition Property

A quantity is equal to itself

If two quantities are equal to the same quantity, then they a…

Is a quantity is equal to a second quantity, then the second…

If equal quantities are added to equal quantities, then the s…

Reflexive Property

A quantity is equal to itself

Transitive Property

If two quantities are equal to the same quantity, then they a…

line postulate

line intersection postulate

segment duplication postulate

angle duplication postulate

you can construct exactly one line through any two points

the intersection of two distinct lines is exactly one point

you can construct a segment congruent to another segment

you can construct an angle congruent to another angle

line postulate

you can construct exactly one line through any two points

line intersection postulate

the intersection of two distinct lines is exactly one point

Reflexive Property

Symmetric Property

Transitive Property

Addition Property of Equality

states that for every real number x , x=x

states that for all real numbers x and y, if x=y , then y=x.

states that for all real numbers x ,y, and z, if x=y and y=z,…

...

Reflexive Property

states that for every real number x , x=x

Symmetric Property

states that for all real numbers x and y, if x=y , then y=x.

Right angles

Straight angles

Midpoint

Bisection of segments

If two angles are right angles then they are congruent

If two angles are straight then they are congruent

If a point divides a segment into two congruent segments then…

If a point divides a segment into a congruent segment them it…

Right angles

If two angles are right angles then they are congruent

Straight angles

If two angles are straight then they are congruent

Perpendicular

complementary angles

supplementary angles

Theorem 4

Lines, rays, or segments that intersect at right angles

two angles whose sum is 90 (a right angle)

two angles whose sum is 180 (a straight line)

if angles are supplementary to the same angle, then they are…

Perpendicular

Lines, rays, or segments that intersect at right angles

complementary angles

two angles whose sum is 90 (a right angle)

reflexive postulate

transitive postulate

symmetric postulate

addition postulate

a quantity is equal to itself

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

an equality may be reversed

if equal quantities are added to equal quantities, then their…

reflexive postulate

a quantity is equal to itself

transitive postulate

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

def. of congruent segments

def. of midpoint

def. of congruent angles

linear pair theorem

2 segments are congruent i.a.o.i their measures are equal

bisects a segment into 2 congruent segments

if 2 angles are congruent then their measures are equal

if 2 angles form a linear pair then they are supp.

def. of congruent segments

2 segments are congruent i.a.o.i their measures are equal

def. of midpoint

bisects a segment into 2 congruent segments

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one p…

A line contains at least two points.

A plane contains at least three noncollinear points

Postulate 2.1

Through any two points, there is exactly one line.

Postulate 2.2

Through any three noncollinear points, there is exactly one p…

Midpoint

Segment bisector

Angle bisector

Perpendicular lines

A point that divides a line segment into two congruent segments

A line or segment that divides a segment into two congruent s…

A line, segment, or Ray that divides an angle into two congru…

Two lines, segments or rays that intersect to form right angles

Midpoint

A point that divides a line segment into two congruent segments

Segment bisector

A line or segment that divides a segment into two congruent s…

Segment Addition Postulate

Definition of a Congruent Segment

Definitely of Congruent Angles

Definition of a Segment Bisector

If 3 points A, B, C are collinear and B is between A and C, t…

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

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

A line segment, Ray, or plane that intersects a segment at it…

Segment Addition Postulate

If 3 points A, B, C are collinear and B is between A and C, t…

Definition of a Congruent Segment

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

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 to both sides.

Dividing the same thing to both sides.

Addition Property of Equality

Adding the same thing to both sides.

Subtraction Property of Equality

Subtracting the same thing to both sides.

Perpendicular lines

Parallel lines cut by a transversal

Midpoint

Line segment bisector

2 lines that intersect to form right angles

Creates congruent and supplementary angles and alternate and…

A point that divides a segment into two congruent segments

A line that intersects another line at its midpoint creating…

Perpendicular lines

2 lines that intersect to form right angles

Parallel lines cut by a transversal

Creates congruent and supplementary angles and alternate and…

Altitude

Median

Midpoint

Perpendicular lines

Line segment extending from the vertex of triangle perpendicu…

Line segment extending from the vertex of the triangle to the…

Point that divides a segment into two congruent segments

Lines which intersect to form right angles

Altitude

Line segment extending from the vertex of triangle perpendicu…

Median

Line segment extending from the vertex of the triangle to the…

Conjecture

Inductive reasoning

Deductive reasoning

Theorem

an opinion or conclusion formed on the basis of incomplete in…

a logical process in which multiple premises, all believed tr…

a logical process in which a conclusion is based on the conco…

a theoretical proposition, statement, or formula embodying so…

Conjecture

an opinion or conclusion formed on the basis of incomplete in…

Inductive reasoning

a logical process in which multiple premises, all believed tr…

Segment Addition Postulate (SAP)

Def Con

Def Bisector

Def Midpoint

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

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

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

divides the segment into two congruent segments

Segment Addition Postulate (SAP)

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

Def Con

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

Midpoint

Segment Bisector Reason 1

Segment Bisector Reason 2

Median Reason 1

A midpoint splits a segment into 2 congruent segments

A segment bisector passes through the midpoint of another seg…

A midpoint splits a segment into 2 congruent segments

A median goes from a triangles vertex to the midpoint of the…

Midpoint

A midpoint splits a segment into 2 congruent segments

Segment Bisector Reason 1

A segment bisector passes through the midpoint of another seg…

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line

Through any three non-collinear points, there is exactly one…

A line contains at least two points

A plane contains at least three non-collinear points

Postulate 2.1

Through any two points, there is exactly one line

Postulate 2.2

Through any three non-collinear points, there is exactly one…

Segment Addition Postulate

Definition of Midpoint

Definition of Segment Bisector

Definition of Congruent Segments

If B is b/t A and C, then AB +BC= AC

P is the mid p of segment of AB and AP is congruent to PB

A line, segment, ray or plane that intersects the segment at…

DE congruent FG, then DE = FG

Segment Addition Postulate

If B is b/t A and C, then AB +BC= AC

Definition of Midpoint

P is the mid p of segment of AB and AP is congruent to PB

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

Linear Pair Theorem

Right Angle Congruence Theorem

Congruent Supplements Theorem

Congruent Compliments Theorem

if two angles form a linear pair, then they are supplementary.

all right angles are congruent.

if two angles are supplementary to the same angle, then they…

if two angles are complimentary to the same angle, then they…

Linear Pair Theorem

if two angles form a linear pair, then they are supplementary.

Right Angle Congruence Theorem

all right angles are congruent.

Biconditional

Compound Statement

Conclusion

Conditional Statement

the conjunction of a conditional statement and its converse

2 or more statements joined together by a conjunction

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

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

Biconditional

the conjunction of a conditional statement and its converse

Compound Statement

2 or more statements joined together by a conjunction

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

For every number a, a=a.

For all numbers a and b, if a=b, then b=a.

For all numbers a, b, and c, if a=b and b=c, then a=c.

For all numbers a, b, and c, if a=b, then a + c = b + c

Reflexive Property of Equality

For every number a, a=a.

Symmetric Property of Equality

For all numbers a and b, if a=b, then b=a.

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

What reason do you write down if adding the same thing to bot…

What reason do you write down if subtracting the same thing t…

What reason do you write down if multiplying the same thing o…

What reason do you write down if dividing the same thing on b…

addition property of equality

What reason do you write down if adding the same thing to bot…

subtraction property of equality

What reason do you write down if subtracting the same thing t…

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

Corresponding Angles Postulate

Corresponding Angles Converse

Alternate Interior Angles Theorem

Alternate Interior Angles Converse

If two parallel lines are cut by a transversal, then the pair…

If two lines have corresponding angles that are congruent, th…

If two parallel lines are cut by a transversal, then the pair…

If two lines have alternate interior angles that are congruen…

Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then the pair…

Corresponding Angles Converse

If two lines have corresponding angles that are congruent, th…

Angle Addition Postulate

Subtraction Property

Substitution Property

Angle Bisector Theorem

p 18 diagram. If point B lies in the interior of ^AOC, then m…

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

If a = b, then either a or b may be substituted for the other…

If BD is the bisector of ^ABC, then m^ABD = 1/2 m^ABC and m^D…

Angle Addition Postulate

p 18 diagram. If point B lies in the interior of ^AOC, then m…

Subtraction Property

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

Axiom/Postulate

Biconditional

Conclusion

Conditional

An accepted statement of fact

The combination of a conditional statement and its converse

The part of a conditional that follows the "then"

An "if-then" statement

Axiom/Postulate

An accepted statement of fact

Biconditional

The combination of a conditional statement and its converse

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…

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

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

divides the segment into two congruent segments

Segment Addition Postulate

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

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

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

conjecture

inductive reasoning

deductive reasoning

theorem

an opinion or conclusion formed on the basis of incomplete in…

the process of arriving at a conclusion based on a set of obs…

Because our conclusion is based on facts, the conclusions rea…

A statement that has been proven

conjecture

an opinion or conclusion formed on the basis of incomplete in…

inductive reasoning

the process of arriving at a conclusion based on a set of obs…