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Study sets matching "geometry proofs"

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
20 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
69 terms
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…
20 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
22 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
15 terms
Geometry - Proofs
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
22 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
26 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
23 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
34 terms
Proofs - Geometry
Inductive Reasoning
Conjecture
Counterexample
Conditional
is a type of reasoning that reaches conclusions based on a pa…
is a conclusion reached by using inductive reasoning.... ex: As…
an example showing that a statement is false.... ex:... STATEMENT:…
is an "if-then" statement.... ex: If you act politely, then you…
Inductive Reasoning
is a type of reasoning that reaches conclusions based on a pa…
Conjecture
is a conclusion reached by using inductive reasoning.... ex: As…
45 terms
Geometry & Proofs
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 correspon…
Where 2 sides of one triangle are proportional to 2 correspon…
Where 2 angles of one triangle are congruent to 2 angles of a…
Are Congruent
Side-Side-Side Similarity (SSS ~)
Where 3 sides of one triangle are proportional to 3 correspon…
Side-Angle-Side Similarity (SAS ~)
Where 2 sides of one triangle are proportional to 2 correspon…
12 terms
Geometry Proofs
Reflexive
Symmetric
Transitive
Supplements Theorem
Reflexive
Symmetric
13 terms
GEOMETRY PROOFS
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 con…
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…
Geometry Proofs
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
21 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
30 terms
Geometry: Proofs
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
51 terms
Geometry Proofs
angle with a measure less than 90
2 angles that lie next to each other o…
ray that divides an angle into 2 congr…
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 o…
adjacent angles
11 terms
Geometry - Proofs
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
20 terms
Geometry Proofs chapter 2
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
21 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
21 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
10 terms
Geometry & Proofs
Triangle Angle Sum Theorem
Perpendicular
CPCTC
SSS
The angles in a triangle add to 180
If 2 lines are perpendicular, then they form right angles.
If 2 triangles are congruent, then corresponding sides and/or…
If 3 sides of one triangle are congruent to 3 corresponding s…
Triangle Angle Sum Theorem
The angles in a triangle add to 180
Perpendicular
If 2 lines are perpendicular, then they form right angles.
12 terms
GEOMETRY PROOFS
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 con…
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…
37 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
14 terms
Geometry Proofs
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 supple…
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.D…
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 supple…
Proofs | Geometry
Reflexive POE
Transitive POE
Substitution POE
Symmetric POE
a=a
If a=b and b=c then a=c
If a=b then a can be replaced by b
If a=b then b=a
Reflexive POE
a=a
Transitive POE
If a=b and b=c then a=c
69 terms
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…
31 terms
Geometry Proofs
If three points A, B, C are collinear…
Segments that have the same length (Us…
a line, segment, ray, or plane that in…
If M is the midpoint of AB, then AM =…
Segment Addition Postulate
Definition of a Congruent Segment
Definition of a Segment Bisector
Midpoint Theorem
If three points A, B, C are collinear…
Segment Addition Postulate
Segments that have the same length (Us…
Definition of a Congruent Segment
25 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
73 terms
Geometry Proofs
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 segment…
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…
14 terms
Geometry Proofs
Given
Transitive Property
Reflexive Property
Symmetric Property
Information presented at beginning of proof
if a = b ... b = c ... a = c
a = a... segment AB is congruent to segment AB... (like a reflectio…
a =b and b = a... (different but equal or balanced)
Given
Information presented at beginning of proof
Transitive Property
if a = b ... b = c ... a = c
44 terms
Geometry Proofs
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 n…
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 n…
50 terms
Geometry 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
20 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
36 terms
Geometry Proofs
Reflexive Property of Equality
Transitive Property of Equality
Addition Property of Equality
Subtraction Property of Equality
a = a
If a = b, and b = c ... Then a = c
If a = b ... Then a + 3 = b + 3
If a = b ... Then a - 3 = b - 3
Reflexive Property of Equality
a = a
Transitive Property of Equality
If a = b, and b = c ... Then a = c
26 terms
Geometry Proofs
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
1. The points on a line can be paired with the real numbers i…
If B is between A and C, then AB + BC = AC
On line AB in a given plane, choose any point ) betwen A and…
If point b lies in the interior of <AOC, then ... m<AOC + m<BOC…
Ruler Postulate
1. The points on a line can be paired with the real numbers i…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
13 terms
Geometry Proofs
Segment Addition Postulate
Definition of Angle Bisector
Definition of Congruence
Definition of Complementary Angles
AB+BC=AC
An angle bisector divides an angle into two equal parts
m∠A= m∠B then ∠A≅∠B
Complementary, then the sum is 90 degrees
Segment Addition Postulate
AB+BC=AC
Definition of Angle Bisector
An angle bisector divides an angle into two equal parts
19 terms
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 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
15 terms
Geometry - Proofs
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
27 terms
Geometry Proofs
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 congrue…
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.
37 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
14 terms
Geometry Proofs
What is the reflexive property?
What do you know about vertical angles?
What does the Mid-Point theorem state?
What is the Angle Bisector theorem?
A quantity is congruent (equal) to itself. (a = a)
Vertical angles are congruent.
The segment joining the midpoints of two sides of a triangle…
This is a theorem that states if a line bisects an angle, the…
What is the reflexive property?
A quantity is congruent (equal) to itself. (a = a)
What do you know about vertical angles?
Vertical angles are congruent.
73 terms
Geometry Proofs
angle with a measure less than 90
2 angles that lie next to each other o…
ray that divides an angle into 2 congr…
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 o…
adjacent angles
29 terms
geometry- proofs
substitution property
reflexice property
symmetric property
midpoint theorem
if a=b, then either a or b can be used in place of each other
a=a
if a=b, then b=a
if M is the midpoint of line AB then line AM is 1/2 of line A…
substitution property
if a=b, then either a or b can be used in place of each other
reflexice property
a=a
69 terms
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…
73 terms
Geometry Proofs
angle with a measure less than 90
2 angles that lie next to each other o…
ray that divides an angle into 2 congr…
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 o…
adjacent angles
11 terms
Geometry Proofs
Reflexive
Symmetric
Transitive
Supplements Theorem
Reflexive
Symmetric
21 terms
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 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
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