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Study sets matching "kapitel 2 math geometry proofs"

Math chapter 2 geometry proofs
Given, to prove, figure, statements, r…
Given, figure, previous statements
Congruent
Congruent segments
5 parts to a deductive proof
Three sources of statements
Two objects that have the same size and shape
Segments that have equal lengths
Given, to prove, figure, statements, r…
5 parts to a deductive proof
Given, figure, previous statements
Three sources of statements
27 terms
Math terms: Geometry Proofs
SSS
SAS
Angle addition postulate
Segment Addition Postulate
postulate stating that when two triangles have corresponding…
Triangles are congruent if any pair of corresponding sides an…
If point B lies in the interior of angle AOC, then. . The pos…
SAP, if B is between segment AC, then AB+BC=AC
SSS
postulate stating that when two triangles have corresponding…
SAS
Triangles are congruent if any pair of corresponding sides an…
28 terms
Geometry: Big Ideas Math: Ch 2: Proofs
Law of Detachment
Law of Syllogism
Two Point Postulate
Line-Point Postulate
If the hypothesis of a true conditional statement is true, th…
Take two conditional statements and form a conclusion by comb…
Through any two points, there exists exactly one line.
A line contains at least two points.
Law of Detachment
If the hypothesis of a true conditional statement is true, th…
Law of Syllogism
Take two conditional statements and form a conclusion by comb…
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
8 terms
10th Geometry Math terms: Proofs Ch 2
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 doesnt equal 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
18 terms
Geometry Proofs---For level Math
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
24 terms
Geometry Proofs----For level Math
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 2: Reasoning and Proof
inductive reasoning
conjecture
counterexample
statement
A type of logic in which generalizations are based on a large…
A guess based on incomplete evidence
an example that proves a statement false
A sentence that is either true or false.
inductive reasoning
A type of logic in which generalizations are based on a large…
conjecture
A guess based on incomplete evidence
9 terms
math 10 geometry proofs
Isosceles triangle
equilateral triangle
right triangle
rhombus
show that 2 sides are =. Use distance formula
show that 3 sides are =. Use distance formula
show that there is 1 right angle. Use slope formula
show that 4 sides are =. Use distance formula
Isosceles triangle
show that 2 sides are =. Use distance formula
equilateral triangle
show that 3 sides are =. Use distance formula
33 terms
math proofs/ theorem GEOMETRY
Right Angle Congruence Theorem(RACT)
Vertical Angle Congruence Theorem(VACT)
Linear Pair Postulate(LPP)
Congruent (Comp.,Supp.) theorem
right angles are congruent
vertical angles are congruent
if 2 angles are a linear pair then they are supplementary
If two angles are (Comp.,Supp.) of the same angle then they a…
Right Angle Congruence Theorem(RACT)
right angles are congruent
Vertical Angle Congruence Theorem(VACT)
vertical angles are congruent
30 terms
Math Geometry Proofs
q
p
q ->p
~q -> ~p
conclusion (then)
hypothesis (if)
converse
contrapositive
q
conclusion (then)
p
hypothesis (if)
20 terms
Math Geometry proof definitions
A state meant that can be written in a…
Part "p" of the statement comes after If
Part "q" of the statement comes after…
Using pattern and observations to dete…
Conditional Statement
Hypothesis
Conclusion
Inductive Reasoning
A state meant that can be written in a…
Conditional Statement
Part "p" of the statement comes after If
Hypothesis
math coordinate geometry proofs
isosceles formula
equilateral formula
right triangle formula
rhombus formula
distance
distance
slope
distance
isosceles formula
distance
equilateral formula
distance
13 terms
Math Geometry Proof terms
Congruent Segements
Congruent Angles
Adjacent angles
Linear Pair
2 segments with the exact same lengths
2 angles that have the exact same measurement
2 angles with a common vertex point and common side
Pair of adjacent angles whose no common sides are opposite rays
Congruent Segements
2 segments with the exact same lengths
Congruent Angles
2 angles that have the exact same measurement
22 terms
Geometry Proofs Ch 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
Math 10 Coordinate Geometry Proofs
Isosceles triangle
Equilateral triangle
Right triangle
What type of lines form a right angle?
SHOW: ... - 2 sides = ... FORMULA: ... - Distance
SHOW:... - 3 sides = ... FORMULA: ... - Distance
SHOW: ... - 1 right angle... FORMULA: ... - Slope
Perpendicular Lines
Isosceles triangle
SHOW: ... - 2 sides = ... FORMULA: ... - Distance
Equilateral triangle
SHOW:... - 3 sides = ... FORMULA: ... - Distance
26 terms
Math Test Terms Geometry Unit 2 (Proof Properties)
definition of congruent segments
definition of congruent angles
definition of right angle
definition of midpoint
AB is congruent to CD... AB is equal to CD
m<ABC = m<DEF... <ABC is congruent to <DEF
<ABC is a right angle... m<ABC = 90 degrees
M is the midpoint of AB... AM is congruent to MB
definition of congruent segments
AB is congruent to CD... AB is equal to CD
definition of congruent angles
m<ABC = m<DEF... <ABC is congruent to <DEF
39 terms
Geometry Chapter 2 Proofs
Conjecture
Inductive Reasoning
Counterexample
Deductive Reasoning
an educated guess based on known information
reasoning that uses a number of specific examples to arrive a…
specific case for which a conjecture is false
method using logic to draw conclusions based upon definitions…
Conjecture
an educated guess based on known information
Inductive Reasoning
reasoning that uses a number of specific examples to arrive a…
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
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
11 terms
Math 10 Coordinate Geometry Proofs
Isosceles Triangle
Equilateral Triangles
Right Triangle
Rhombus
2 sides are equal, Distance Formula
3 sides are equal, Distance Formula
1 right angle, slope
4 sides are equal, Distance Formula
Isosceles Triangle
2 sides are equal, Distance Formula
Equilateral Triangles
3 sides are equal, Distance Formula
13 terms
geometry-ch. 2 proofs
reflexive property of equality
symmetric property of equality
transitive property of equality
substitution property of equality
AB=AB
If AB=CD, then CD=AB
If a=b and b=c, then a=c
If a=b, then a may be replaced by b in any equation or expres…
reflexive property of equality
AB=AB
symmetric property of equality
If AB=CD, then CD=AB
8 terms
Algebra/ Geometry Math Vocab for Proofs
Complementary Angles
Supplementary Angles
Theorem
Vertical Angles
Two angles whose measures have a sum of 90 degrees
Two angles whose measures have a sum of 180 degrees
A statement that can be proven
Two angles formed by intercepting lines and facing in the opp…
Complementary Angles
Two angles whose measures have a sum of 90 degrees
Supplementary Angles
Two angles whose measures have a sum of 180 degrees
49 terms
Geometry Chapter 2: Reasoning and Proofs
Conditional Statement
If-then Form
Hypothesis
Conclusion
A logical statement that has two parts, a hypothesis and a co…
The form of a conditional statement that uses the words "if"…
The "if" part of a conditional statement written in if-then f…
The "then" part of a conditional statement written in if-then…
Conditional Statement
A logical statement that has two parts, a hypothesis and a co…
If-then Form
The form of a conditional statement that uses the words "if"…
20 terms
Geometry Test #2: Proofs
Linear Pair
Complementary
Supplementary
Right Angle
Two angles that are supplementary and adjacent
Two angles whose measure is equal to 90 degrees
Two angles whose measure is equal to 180 degrees
Angle whose measure is equal to 90 degrees
Linear Pair
Two angles that are supplementary and adjacent
Complementary
Two angles whose measure is equal to 90 degrees
36 terms
Geometry test 2 - PROOFS
Reflexive Property
Transitive Property
Symmetric Property
Addition Property of Equality
A quantity is equal to itself.
If two quantities are equal to the same quantity, then they a…
If 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…
10 terms
Geometry Unit 2 Proofs
Conjecture
Conditional Statement
Converse
Inverse
guess
if, then (p-q)
q-p
not p- not q
Conjecture
guess
Conditional Statement
if, then (p-q)
50 terms
Geometry Chapter 2: Proofs
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any two points there is exactly one line
Through any two lines, there is exactly one point of intersec…
If two planes intersect they intersect at exactly one line
Through any three nonlinear points there is exactly one plane
Postulate 1-1
Through any two points there is exactly one line
Postulate 1-2
Through any two lines, there is exactly one point of intersec…
12 terms
geometry proofs part 2
supplement therom
complemnt therom
congruent supplement therom
congruent complemnts therom
two angles form a linear pair
two adjecent angles form a right angle
if two angles are sup. to the same angle then the angles are…
if 2 angles are comp. to the same angle then the angles are c…
supplement therom
two angles form a linear pair
complemnt therom
two adjecent angles form a right angle
16 terms
geometry chapter 2 proofs
congruent supplements theorem
definition of complementary angles
Vertical angles theorem
Congruent supplements theorem
If two angles are complementary to congruent angles, then the…
If two angles add up to 90 degrees, then they are complementary
Vertical angles are congruent
If two angles are supplementary to congruent angles, the the…
congruent supplements theorem
If two angles are complementary to congruent angles, then the…
definition of complementary angles
If two angles add up to 90 degrees, then they are complementary
17 terms
Geometry Ch 2 Proofs
Addition poe
Subtraction poe
Multiplication poe
division poe
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 not =
Addition poe
If a=b, then a+c=b+c
Subtraction poe
If a=b, then a-c=b-c
22 terms
Geometry Proofs (chapter 2)
Verticle angles are...
Right angles are...
Linear pairs are...
Angle addition postulate
Congruent
Congruent
Supplementary
When two angles are added together
Verticle angles are...
Congruent
Right angles are...
Congruent
29 terms
Geometry- Ch.2 (Proofs)
Addition property
Subtraction property
Multiplication property
Division property
If a, then a+c=b+c
If a, then a-c=b-c
If a=b, then ac=bc
If a=b, then a/c=b/c
Addition property
If a, then a+c=b+c
Subtraction property
If a, then a-c=b-c
52 terms
Geometry Chapter 2 - Proofs
Line postulate
Segment Addition postulate
Angle Addition postulate
Reflexive POE
Between any 2 points there's a line
If Q is between P and R, then PQ + QR = PR
If ray DF is in the interior of angle CDE, then the measure o…
a=a
Line postulate
Between any 2 points there's a line
Segment Addition postulate
If Q is between P and R, then PQ + QR = PR
9 terms
Geometry Proofs Chapter 2
Addition property
Subtraction Property
Multiplication Property
Division Property
If a=b, then a + b=b+a
If a=b then a-b=b-a
If a=b then a•b=b•a
If a=b and c£0 then a/c= b/c
Addition property
If a=b, then a + b=b+a
Subtraction Property
If a=b then a-b=b-a
10 terms
Geometry ch. 2 (proofs)
Theorem
Postulate
Biconditional
Inverse
Proven
Accepted as true
If and only if
Negate, make it not
Theorem
Proven
Postulate
Accepted as true
20 terms
Big Ideas Math Geometry Ch.2 Proof This
Definition of Congruence
Definition of Midpoint
Definition of Segment Bisector
Definition of Angle Bisector
A line segment or a line are congruent to another if and only…
If a line segment's midpoint is given, it is split into two e…
If a line, line segment, or plane bisects a segment, then it…
If a line, line segment, or plane bisects an angle, then it w…
Definition of Congruence
A line segment or a line are congruent to another if and only…
Definition of Midpoint
If a line segment's midpoint is given, it is split into two e…
58 terms
Geometry Unit 2 - Logic and Proof
inductive reasoning
conjecture
statement
truth value
making a conclusion based on patterns and observations
a concluding statement reached using inductive reasoning
a sentence that is either true or false, represented using le…
whether a statement is true or false
inductive reasoning
making a conclusion based on patterns and observations
conjecture
a concluding statement reached using inductive reasoning
24 terms
Geometry Proofs (test 2)
Segment addition postulate
Definition of midpoint
Definition of segment bisector
Definition of congruent segments
If B is between A and C, then AB+BC= AC
P is the midpoint of segment AB and segment AP ≅ PB
A line, segment, ray, or plane that intersects the segment at…
DE ≅ FG... DE = FG
Segment addition postulate
If B is between A and C, then AB+BC= AC
Definition of midpoint
P is the midpoint of segment AB and segment AP ≅ PB
15 terms
Geometry Test 2: Proofs
HYPOTHESIS
CONCLUSION
BI-CONDITIONAL
TRUTH STATEMENT
P
Q
ONLY WRITTEN WHEN THE CONVERSE AND CONDITIONAL ARE TRUE. WRIT…
SAYING IF SOMETHING IS TRUE OR FALSE
HYPOTHESIS
P
CONCLUSION
Q
9 terms
Geometry 2-6 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, 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
38 terms
Geometry Ch. 2 Proofs
If a rt angle
if measure of 90°
if 2 seg have same measure
if they are congruent
then measure of 90°
then a rt angle
then they are congruent
then 2 seg have same measure
If a rt angle
then measure of 90°
if measure of 90°
then a rt angle
19 terms
Geometry Chapter 2: Proofs
Proof
Hypothesis
Conclusion
Converse
If/Then statement, with a hypothesis and conclusion. ... Ex: If…
"if" part of a proof... Ex: dog has a leash
"then" part of a proof... Ex: it has an owner
Statement opposite of proof statement. Can usually tell if a…
Proof
If/Then statement, with a hypothesis and conclusion. ... Ex: If…
Hypothesis
"if" part of a proof... Ex: dog has a leash
20 terms
Chapter 2 geometry proofs
Vertical angles congruence theorem
Congruent supplements theorem
Linear pair postulate
Right angle congruence theorem
Angle 1 is congruent to angle 2 and angle 2 is congruent to a…
If angle 1 and angle 2 are supplementray and angle 2 and angl…
If two angles form a linear pair (180 line), then they are su…
All right angles are congruent
Vertical angles congruence theorem
Angle 1 is congruent to angle 2 and angle 2 is congruent to a…
Congruent supplements theorem
If angle 1 and angle 2 are supplementray and angle 2 and angl…
19 terms
Geometry - Ch 2 Part 2 Reasons in 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 does not = 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
17 terms
Math Unit-2: Proofs
Inductive reasoning
conjecture
counter examples
conditional statement
a type of reasoning that uses paterns to arrive at a conclusi…
the conclusion statement that was reached after incuctive rea…
an example that proves a statement to be false
a statement that can be written in if-then form. (P --> Q)
Inductive reasoning
a type of reasoning that uses paterns to arrive at a conclusi…
conjecture
the conclusion statement that was reached after incuctive rea…
23 terms
Ch 2 Proofs Geometry
conjecture
counterexample
deductive reasoning
inductive reasoning
a conclusion formed by reasoning
an observation that disrupts of challenges the observed
the process of using logic to arrive at a conclusion
using patterns to form a conclusion
conjecture
a conclusion formed by reasoning
counterexample
an observation that disrupts of challenges the observed
17 terms
Honors math 2 proofs
Addition property
Subtraction property
Multiplication property
Division property
A=b then a+c=b+c
A=b then a-c=b-c
A=b then ac=bc
A=b then a/c=b/c
Addition property
A=b then a+c=b+c
Subtraction property
A=b then a-c=b-c
13 terms
Geometry Unit 2: Proofs
Supplementary angles
Linear pair
Complementary angles
Congruent angles
a pair of angles that sum to 180
a pair of adjacent angles that form a straight line, and thus…
a pair of angles that sum to 90
if a pair of angles have the same measure, then they are cong…
Supplementary angles
a pair of angles that sum to 180
Linear pair
a pair of adjacent angles that form a straight line, and thus…
53 terms
GSE Geometry - Unit 2: Similarity, Congruence, and Proofs
angle
Adjacent Angles
Alternate Exterior Angles
Alternate Interior Angles
Angles are created by two distinct rays that share a common e…
Angles in the same plane that have a common vertex and a... comm…
Alternate exterior angles are pairs of angles formed... when a t…
Alternate interior angles are pairs of angles formed... when a t…
angle
Angles are created by two distinct rays that share a common e…
Adjacent Angles
Angles in the same plane that have a common vertex and a... comm…
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