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Study sets matching "geometry vocabulary proofs"

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Study sets matching "geometry vocabulary proofs"

[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…
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
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
38 terms
Geometry Terms -Segment and Angle Proofs
Point
Line
Plane
What is a Definition or Postulate/Axioms
A plane ALWAYS has at least 3 points
Statements that are accepted without Proofs
Point
Line
16 terms
Geometry Proofs
Addition Property
Subtraction Property
Multiplication Property
Division Property
If a=b, the a+c=b+c
If a=b, then a-c=b-c
If a=b, the ac=bc
If a=b and c≠0, then a÷c = b÷c
Addition Property
If a=b, the a+c=b+c
Subtraction Property
If a=b, then a-c=b-c
14 terms
Geometry Test Proof Vocabulary
Reflexive Property of Equality
Symmetric Property of Equality
Substitution/ Transitive Property of E…
Addition Property
Simply states that a value is equal to itself. This property…
If a = b, then b = a or AB=CD, CD=AB
If we have a,b & c. a=b and b=c then a=c
If a=b, then a+c= b+c
Reflexive Property of Equality
Simply states that a value is equal to itself. This property…
Symmetric Property of Equality
If a = b, then b = a or AB=CD, CD=AB
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
45 terms
Geometry Proofs and Theorems
Segment Addition Postulate
Same Side Interior Angle Theorem
Isosceles Triangle Theorem
No Choice Theorem / 3rd Angles Theorem
If three points A, B, and C are collinear and B is between A…
If two lines are cut by a transversal, the same side interior…
If two sides of a ∆ are congruent, then the angles opposite t…
If two angles of a ∆ are congruent to two angles of another ∆…
Segment Addition Postulate
If three points A, B, and C are collinear and B is between A…
Same Side Interior Angle Theorem
If two lines are cut by a transversal, the same side interior…
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
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
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
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
45 terms
Geometry Proofs and Theorems
Segment Addition Postulate
Same Side Interior Angle Theorem
Isosceles Triangle Theorem
No Choice Theorem / 3rd Angles Theorem
If three points A, B, and C are collinear and B is between A…
If two lines are cut by a transversal, the same side interior…
If two sides of a ∆ are congruent, then the angles opposite t…
If two angles of a ∆ are congruent to two angles of another ∆…
Segment Addition Postulate
If three points A, B, and C are collinear and B is between A…
Same Side Interior Angle Theorem
If two lines are cut by a transversal, the same side interior…
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
34 terms
Geometry Proofs
Definition of Adjacent Angles
Definition of Linear Pair
Definition of Midpoint
Definition of Angle Bisector
Two angles are adjacent iff they share an endpoint and a comm…
Two angles are a linear pair iff they are adjacent and non-co…
A point is a midpoint iff it cuts a segment into two ≅ segmen…
A point, line, ray, or segment is a segment bisector iff it c…
Definition of Adjacent Angles
Two angles are adjacent iff they share an endpoint and a comm…
Definition of Linear Pair
Two angles are a linear pair iff they are adjacent and non-co…
43 terms
Geometry Proofs
definition of congruent angles
definition of congruent segments
definition of complementary angles
definition of supplementary angles
two angles are congruent if and only if the angles have the s…
two segments are congruent iff they have the same length
complementary angles are two angles whose measures have the s…
supplementary angles are two angles whose measures have the s…
definition of congruent angles
two angles are congruent if and only if the angles have the s…
definition of congruent segments
two segments are congruent iff they have the same length
24 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
24 terms
Geometry Proofs!
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
A line, segment, ray, or plane that bisects a segment, that l…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
Definition of Midpoint
28 terms
Geometry: Proofs
3 Undefined Terms
Postulate
Definition
Theorem
point, line, plane
statement that cannot be proven
meaning of a term
a statement that can be proven
3 Undefined Terms
point, line, plane
Postulate
statement that cannot be proven
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
14 terms
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
13 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
45 terms
Geometry Proofs
Side-Side-Side Similarity (SSS)
Side-Angle-Side Similarity (SAS)
Angle-Angle Similarity (AA)
Corresponding Angles
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…
28 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
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
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
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
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…
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--Briant
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
19 terms
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…
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…
17 terms
Geometry proofs
Definition of angle bisector
Definition of segment bisector
vertical angles are congruent
reflexive property
a = a or line b = line b
Definition of angle bisector
Definition of segment bisector
24 terms
Geometry Proofs
Addition Property of Equality
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, c cannot equal 0
Addition Property of Equality
if a =b, then a+c=b+c
Subtraction Property
if a =b, then a-c=b-c
33 terms
Geometry proofs
reflexive property
transitive property
symmetric property
definition of angle bisector
reflexive property
transitive property
21 terms
Proofs Geometry
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=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
Geometry proofs
Transversal
If parallel lines are cut by a transve…
If parallel lines are cut by a transve…
If parallel lines are cut by a transve…
a line that intersects 2 or more other lines
corresponding angles are congruent
alternate interior angles are congruent
alternate exterior angles are congruent
Transversal
a line that intersects 2 or more other lines
If parallel lines are cut by a transve…
corresponding angles are congruent
28 terms
Geometry Proofs
Midpoint
Angle Bisector
Halves of Equals
Perpendicular lines
A midpoint divides a segment into 2 congruent halves
and angle bisector divides angles into 2 congruent angles
Halves of equals are equal
perpendicular lines form 90 degree angles
Midpoint
A midpoint divides a segment into 2 congruent halves
Angle Bisector
and angle bisector divides angles into 2 congruent angles
20 terms
Geometry proofs
Reflexive Property
Addition Property
Subtraction Property
Definition of Congruent Segments
everything is equal to itself... ex. AB=AB
you can add the same # on both sides and the equation will st…
You can subtract the same # from both sides and they will sti…
Reflexive Property
everything is equal to itself... ex. AB=AB
Addition Property
you can add the same # on both sides and the equation will st…
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
30 terms
Geometry proofs
Addition prop.
Subtraction prop.
Multiplication prop.
Division prop.
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 ≠ o then a ÷ c = b ÷ c
Addition prop.
if a=b then a+c = b+c
Subtraction prop.
if a=b then a-c = b-c
9 terms
Geometry proofs
corresponding angles postulate
alternate interior angles theorem
same-side interior angles theorem
converse of the alternate interior ang…
If two parallel lines are cut by a transversal, then the pair…
If two parallel lines are cut by a transversal, then the alte…
If two parallel lines are cut by a transversal, then the two…
If two coplanar lines are cut by a transversal so that a pair…
corresponding angles postulate
If two parallel lines are cut by a transversal, then the pair…
alternate interior angles theorem
If two parallel lines are cut by a transversal, then the alte…
40 terms
Geometry Proofs
Definition
Theorem
Corollary
Postulate
statement that describes a mathematical object and can be wri…
mathematical statement which we can prove to be true
proposition that follows from one already proven; a natural c…
proposition that is accepted as true in order to provide a ba…
Definition
statement that describes a mathematical object and can be wri…
Theorem
mathematical statement which we can prove to be true
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
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…
44 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
12 terms
Geometry proofs
Law of syllogism
addition property of equality
subtraction property of equality
multiplication property of equality
if p ➡q and q➡r are true conditional statements then p➡r is t…
if a=b, then a+c=b+c
if a=b, then a-c=b-c
if a=b, then ac=bc
Law of syllogism
if p ➡q and q➡r are true conditional statements then p➡r is t…
addition property of equality
if a=b, then a+c=b+c
23 terms
Geometry Proofs
Definition of Congruent Segments
Definition of Congruent Angles
Angle Addition Postulate
Segment Addition Postulate
if AB=CD then segment AB and segment CD are congruent
Angles with the same measure. If angle 1 is equal to angle 2,…
the measure of angle AOB + the measure of angle BOC equals th…
AB+BC=AC
Definition of Congruent Segments
if AB=CD then segment AB and segment CD are congruent
Definition of Congruent Angles
Angles with the same measure. If angle 1 is equal to angle 2,…
31 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, 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
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