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Study sets matching "proofs math geometry"

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…
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
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
30 terms
Math Geometry Proofs
q
p
q ->p
~q -> ~p
conclusion (then)
hypothesis (if)
converse
contrapositive
q
conclusion (then)
p
hypothesis (if)
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
math coordinate geometry proofs
isosceles formula
equilateral formula
right triangle formula
rhombus formula
distance
distance
slope
distance
isosceles formula
distance
equilateral formula
distance
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
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
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
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
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…
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…
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
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
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
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
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
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
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
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
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
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…
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
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…
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…
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
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
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
13 terms
Geometry: Big Ideas Math: Ch 6: Proofs
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Angle Bisector Theorem
Converse of the Angle Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
In a plane, if a point is equidistant from the endpoints of a…
If a point lies on the bisector of an angle, then it is equid…
If a point is in the interior of an angle and is equidistant…
Perpendicular Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
Converse of the Perpendicular Bisector…
In a plane, if a point is equidistant from the endpoints of a…
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
22 terms
Geometry: Big Ideas Math: Ch 7: Proofs
Polygon Interior Angles Theorem
Corollary to the Polygon Interior Angl…
Polygon Exterior Angles Theorem
Parallel Opposite Sides Theorem
The sum of the measures of the interior angles of a convex n-…
The sum of the measures of the interior angles of a quadrilat…
The sum of the measures of the exterior angles of a convex po…
If a quadrilateral is a parallelogram, then its opposite side…
Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n-…
Corollary to the Polygon Interior Angl…
The sum of the measures of the interior angles of a quadrilat…
22 terms
Geometry: Big Ideas Math: Ch 10: Proofs
Arc Addition Postulate
Tangent Line to Circle Theorem
External Tangent Congruence Theorem
Congruent Circles Theorem
The measure of an arc formed by two adjacent arcs is the sum…
In a plane, a line is tangent to a circle if and only if the…
Tangent segments from a common external point are congruent.
Two circles are congruent circles if and only if they have th…
Arc Addition Postulate
The measure of an arc formed by two adjacent arcs is the sum…
Tangent Line to Circle Theorem
In a plane, a line is tangent to a circle if and only if the…
16 terms
Geometry: Big Ideas Math: Ch 3: Proofs
Parallel Postulate
Perpendicular Postulate
Corresponding Angles Theorem
Alternate Interior Angles Theorem
If there is a line and a point not on the line, then there is…
If there is a line and a point not on the line, then there is…
If two parallel lines are cut by a transversal, then the pair…
If two parallel lines are cut by a transversal, then the pair…
Parallel Postulate
If there is a line and a point not on the line, then there is…
Perpendicular Postulate
If there is a line and a point not on the line, then there is…
16 terms
Geometry: Big Ideas Math: Ch 5: Proofs
Triangle Sum Theorem
Exterior Angle Theorem
Corollary to the Triangle Sum Theorem
Reflexive Property of Triangle Congrue…
The sum of the measures of the interior angles of a triangle…
The measure of an exterior angle of a triangle is equal to th…
The acute angles of a right triangle are complementary.
For any triangle ABC, triangle ABC is congruent to triangle A…
Triangle Sum Theorem
The sum of the measures of the interior angles of a triangle…
Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to th…
10 terms
Geometry: Big Ideas Math: Ch 9: Proofs
Pythagorean Theorem
Converse of the Pythagorean Theorem
Pythagorean Inequalities Theorem
45°-45°-90° Triangle Theorem
In a right triangle, the square of the length of the hypotenu…
If the square of the length of the longest side of a triangle…
If c²<a²+b², then ΔABC is acute.... If c²>a²+b², then ΔABC is ob…
In a 45°-45°-90° triangle, the hypotenuse is √2 times as long…
Pythagorean Theorem
In a right triangle, the square of the length of the hypotenu…
Converse of the Pythagorean Theorem
If the square of the length of the longest side of a triangle…
9 terms
Geometry: Big Ideas Math: Ch 8: Proofs
Perimeters of Similar Polygons
Areas of Similar Polygons
Angle-Angle (AA) Similarity Theorem
Side-Side-Side (SSS) Similarity Theorem
If two polygons are similar, then the ratio of their areas is…
If two polygons are similar, then the ratio of their areas is…
If two angles of one triangle are congruent to two angles of…
If the corresponding side lengths of two triangles are propor…
Perimeters of Similar Polygons
If two polygons are similar, then the ratio of their areas is…
Areas of Similar Polygons
If two polygons are similar, then the ratio of their areas is…
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
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…
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
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
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
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
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