Study sets matching "chapter 2 geometry proofs"
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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
Theorem 2.1: Vertical Angles
Theorem 2.2: Congruent Supplements Theo…
Theorem 2.3: Congruent Complements Theo…
Theorem 2.4
vertical angles are congruent
if two angles are supplements of the same angle, then the two…
if two angles are complements of the same angle, then the two…
all right angles are congruent
Theorem 2.1: Vertical Angles
vertical angles are congruent
Theorem 2.2: Congruent Supplements Theo…
if two angles are supplements of the same angle, then the two…
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 intersect…
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 intersect…
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
Midpoint Theorem
Segment Addition Postulate
Reflexive Property
Symmetric Property
if m is the midpoint of AB, then AM is congruent to MB
if b is between A and C, then AB+BC=AC
AB is congruent to AB; angle ABC is congruent to ABC (can be u…
if AB is congruent to CD, then CD is congruent to AB
Midpoint Theorem
if m is the midpoint of AB, then AM is congruent to MB
Segment Addition Postulate
if b is between A and C, then AB+BC=AC
Conjecture
Inductive Reasoning
Counterexample
Deductive Reasoning
an educated guess based on known information
reasoning that uses a number of specific examples to arrive at…
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 at…
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 of…
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
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 t…
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
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 p…
Proof
If/Then statement, with a hypothesis and conclusion. ... Ex: If…
Hypothesis
"if" part of a proof... Ex: dog has a leash
midpoint theorem
segment addition postulate
reflexive property
symmetric property
If m is the midpoint of line AB the line AM is congruent to li…
If B is between A and C then AB+BC=AC
line AB is congruent to AB
if line AB is congruent to line CD then line CD is congruent t…
midpoint theorem
If m is the midpoint of line AB the line AM is congruent to li…
segment addition postulate
If B is between A and C then AB+BC=AC
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 doesn't = 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
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 an…
If angle 1 and angle 2 are supplementray and angle 2 and angle…
If two angles form a linear pair (180 line), then they are sup…
All right angles are congruent
Vertical angles congruence theorem
Angle 1 is congruent to angle 2 and angle 2 is congruent to an…
Congruent supplements theorem
If angle 1 and angle 2 are supplementray and angle 2 and angle…
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 intersect…
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 intersect…
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
If a=b, then a+c=b+c... When you add something to both sides of a…
If a=b, then a-c=b-c... When you subtract something from both sid…
If a=b, then ac=bc... When you multiply both sides of an equation…
If a=b and c≠0, then a/c=b/c... When you divide both sides of an…
Addition Property of Equality
If a=b, then a+c=b+c... When you add something to both sides of a…
Subtraction Property of Equality
If a=b, then a-c=b-c... When you subtract something from both sid…
flowchart proof
paragraph proof
Common Segments Theorem
Vertical Angles Theorem
uses boxes and arrows to show the structure of the proff
presents the steps of a proof and their matching reasons as se…
vertical angles are congruent
flowchart proof
uses boxes and arrows to show the structure of the proff
paragraph proof
presents the steps of a proof and their matching reasons as se…
Conditional Statement
If-then Form
Hypothesis
Conclusion
A logical statement that has two parts, a hypothesis and a con…
The form of a conditional statement that uses the words "if" a…
The "if" part of a conditional statement written in if-then fo…
The "then" part of a conditional statement written in if-then…
Conditional Statement
A logical statement that has two parts, a hypothesis and a con…
If-then Form
The form of a conditional statement that uses the words "if" a…
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 ... (iif c does not equal 0)
Addition property
If a=b ... then a+c=b+c
Subtraction property
If a=b ... then a-c=b-c
Perpendicular Lines
Biconditional Statement
Two Point Postulate
Line-Point Postulate
Lines that intersect to form right angles.
A statement that contains the phrase "if and only it".
Through any two points, there exists exactly one line.
A line contains at least two points.
Perpendicular Lines
Lines that intersect to form right angles.
Biconditional Statement
A statement that contains the phrase "if and only it".
Converse
Negation
Inverse
Contrapositive
Formed by switching the hypothesis and conclusion of a conditi…
Is the denial of a statement (add the word "not"). A statement…
Formed by negating both the hypothesis and conclusion of a con…
Formed by negating and switching the hypothesis and conclusion…
Converse
Formed by switching the hypothesis and conclusion of a conditi…
Negation
Is the denial of a statement (add the word "not"). A statement…
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 a(c)=b(c)
if a=b and c DOES NOT =, 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