Study sets matching "geometry vocabulary proofs"

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Study sets matching "geometry vocabulary proofs"

Geometry 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
geometry proofs
symmentric
reflexive
transitive
substitution
ab=cd then cd=ab
a=a, b=b, or ab=ab
a=b and b=c then a=c
a=b and c=b then a=c
symmentric
ab=cd then cd=ab
reflexive
a=a, b=b, or ab=ab
Geometry: Chapter 5- Proofs vocabulary
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
6 terms
Geometry Proofs
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
Geometry Proofs
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…
26 terms
Geometry Proofs
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
Geometry Proofs
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.
Geometry proofs
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
32 terms
Geometry Proofs
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)
18 terms
Geometry Proof Vocabulary
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…
17 terms
Chapter 2 Amsco Geometry Proofs Vocabulary
Addition property
Subtraction property
Multiplication property
Division property
If a=b then a+c=b+c
a=b then a-c=b-c
a=b then ac=bc
If a=b and c not equal to 0, then a/c=b/c
Addition property
If a=b then a+c=b+c
Subtraction property
a=b then a-c=b-c
geometry proofs
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
16 terms
Geometry Proofs
Reflexive property of =
symmetric property of =
transitive property of =
addition property of =
a=a
a=b, b=a
a=b, b=c, then a=c
a=b then a+c=b+c
Reflexive property of =
a=a
symmetric property of =
a=b, b=a
Geometry proofs
If seg add post
If ang add post
If a linear pair
If midpoint
Substitution
Substitution
Supplementary then def of supplementary
Def of midpoint then Def of congruent
If seg add post
Substitution
If ang add post
Substitution
Geometry Proofs
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…
9 terms
Geometry proofs
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…
Geometry Proofs
Addition Property
Subtraction Property
Multiplication Property
Division Property
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, then a/c=b/c
Addition Property
If a=b, then a+c=b+c
Subtraction Property
If a=b, then a-c=b-c
Geometry proofs
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…
Geometry Proofs
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.
Geometry: Proofs
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…
7 terms
Geometry: Proof Vocabulary
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…
Geometry Proofs
reflexive property
substitution
transitive
symmetric
a=a
replace
a=b b=c a=c
a=b b=a
reflexive property
a=a
substitution
replace
24 terms
Geometry Proofs
Reflexive
Symmetric
Transitive
Segment Addition Postulate (SAP)
Statement: AB=AB
Given: AB=CD... Statement: CD=AB
Given AB=CD and CD=EF... Statement: AB=EF
Statement: AB+BC=AC
Reflexive
Statement: AB=AB
Symmetric
Given: AB=CD... Statement: CD=AB
Geometry Proof And Reasoning Vocabulary
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…
14 terms
Geometry Proofs
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Acute Triangle
no congruent sides
at least 2 congruent sides
3 congruent sides
3 acute angles
Scalene Triangle
no congruent sides
Isosceles Triangle
at least 2 congruent sides
Geometry Proofs
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…
21 terms
Geometry Proofs
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…
Geometry Proofs
Given
Simplify
Addition property
Subtraction property
Information provided
Combining like terms in an equation
If a=b then a+c=b+c
if a=b, then a-c=b-c
Given
Information provided
Simplify
Combining like terms in an equation
20 terms
Geometry - Proofs
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…
27 terms
Geometry Proofs
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
Geometry proof vocabulary
Angle
Acute angle
Obtuse angle
Right angle
Two different rays that have the same starting point
Between 0 and 90 degrees
Between 90 and 180 degrees
Exactly 90 degrees
Angle
Two different rays that have the same starting point
Acute angle
Between 0 and 90 degrees
Geometry Proof Vocabulary
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
34 terms
Geometry Proofs
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.
23 terms
Geometry Proof Vocabulary
vertical angles
complementary angles
supplementary angles
linear pair
are the same angles, equal
two angles whose sum is 90
two angles whose sum is 180
supplementary angles that are adjacent
vertical angles
are the same angles, equal
complementary angles
two angles whose sum is 90
Geometry Proofs
SAS
ASA
SSS
AAS
Included angle in between sides
Included side in between angles
3 congruent sides
Two angles then a non included side
SAS
Included angle in between sides
ASA
Included side in between angles
25 terms
Geometry Proof and Logic Vocabulary
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
28 terms
Geometry Proofs
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.
geometry proofs
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…
22 terms
Geometry Proofs
Reflexive Property
Symmetric Property
Transitive Property
Addition Property
a = a
If a = b, then b = a
If a = c and b = c, then a = c
If a = b then a + 3 = b + 3
Reflexive Property
a = a
Symmetric Property
If a = b, then b = a
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
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
[Geometry] Proof Vocabulary
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…
45 terms
geometry proofs
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
17 terms
Geometry Vocabulary - Reasoning and Proof
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
Geometry Proofs
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…
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
38 terms
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
38 terms
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
Geometry Proof and Reasoning Vocabulary
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…
Geometry Proofs
Reflexive
Symmetric
Transitive
Supplements Theorem
Reflexive
Symmetric
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