Study sets matching "geometry postulates 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
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
Segment Addition Postulate
Angle Addition Postulate
Postulate 6
Postulate 7
If B is between A & C, then AB + BC = AC
add two angles together, you get a bigger angle, same vertex p…
Through any two points there is exactly one line
Through any three points there is at least one plane, and thro…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
Angle Addition Postulate
add two angles together, you get a bigger angle, same vertex p…
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
segment addition postulate (SAP)
angle addition postulate (AAP)
addition property of equality
subtraction property of equality
if B is between A and C, then AB + BC = AC... if AB + BC = AC, th…
Angles can be added together if they are adjacent
Adding a value to each side of an equation... if a=b, then a+c=b+c
subtracting a value from each side of an equation ... if a=b then…
segment addition postulate (SAP)
if B is between A and C, then AB + BC = AC... if AB + BC = AC, th…
angle addition postulate (AAP)
Angles can be added together if they are adjacent
Ruler Postulate 1
Segment addition postulate 2
Protractor Postulate 3
Postulate 5
The points on a line can be matched one to one with the real n…
If B is between A and C, then AB + BC=AC then B is between A a…
ConsiderOB and a point A on one side of OB. The Rays of the fo…
Through any two points there exists exactly one line
Ruler Postulate 1
The points on a line can be matched one to one with the real n…
Segment addition postulate 2
If B is between A and C, then AB + BC=AC then B is between A 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
Definition of Midpoint
Definition of Segment Bisector
Definition of Angle Bisector
Definition of Perpendicular
If D is the midpoint of AB then AD=DB (equal parts created).
If PM bisects AB, AM=MB.
If XB bisects angle ABC, then <ABX is congruent to <XBC
Perpendicular Lines form right angles.
Definition of Midpoint
If D is the midpoint of AB then AD=DB (equal parts created).
Definition of Segment Bisector
If PM bisects AB, AM=MB.
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
commutative property of addition
distributive property
addition property of equality
subtraction property of equality
a + b = b +a
a(b + c) = ab + ac
If a = b and c = d, then a + c = b + d
If a = b and c = d, then a - c = b - d
commutative property of addition
a + b = b +a
distributive property
a(b + c) = ab + ac
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
If point B is on and between points A a…
If point D lies in the interior of ∠ABC…
If two angles are a linear pair, then t…
If two angles are vertical angles, then…
Segment Addition Postulate
Angle Addition Postulate
Linear Pair Postulate
Vertical Angles Theorem
If point B is on and between points A a…
Segment Addition Postulate
If point D lies in the interior of ∠ABC…
Angle Addition Postulate
Segment Addition postulate
Angle Addition postulate
Linear Pair postulate
Definition of Congruence
If M is between A and B, then AM+MB=AB.
If C is in the interior of ABD, then m<ABC+m<CBD=m<ABD.
If two angles form a linear paire, then they are supplementary.
If measures are equal, then parts are congruent.
Segment Addition postulate
If M is between A and B, then AM+MB=AB.
Angle Addition postulate
If C is in the interior of ABD, then m<ABC+m<CBD=m<ABD.
Postulate 2.1
Postulate 2.2
Postulate 2.3
Postulate 2.4
Through any 2 points is exactly 1 line.
Through any 3 noncollinear points, there is exactly one plane.
A line contains at least 2 points.
A plane contains at least 3 noncollinear points.
Postulate 2.1
Through any 2 points is exactly 1 line.
Postulate 2.2
Through any 3 noncollinear points, there is exactly one plane.
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
If you add the same number to each side of an equation, the tw…
If you subtract the same number from each side of an equation,…
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 you add the same number to each side of an equation, the tw…
Subtraction Property of Equality
If you subtract the same number from each side of an equation,…
If two sides of one triangle are equal…
If two angles of one triangle are equal…
The sum of the interior angles of a qua…
If a quadrilateral is a parallelogram,…
Isosceles triangle theorem
Isosceles triangle theorem
Quadrilateral Angle Sum Theorem
Opposites sides of a parallelogram are equal
If two sides of one triangle are equal…
Isosceles triangle theorem
If two angles of one triangle are equal…
Isosceles triangle theorem
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 c is ALMOST equal to
Addition Property of Equality
if a=b, then a+c=b+c
Subtraction Property of Equality
if a=b, then a-c=b-c
Definition of Vertical Angles
Definiton of Congruency
Definition of Midpoint
Definition of a Square
two nonadjacent angles formed by two intersecting lines
having the same measure
the point on a segment exactly halfway between the endpoints o…
a quadrilateral with four right angles and four congruent sides
Definition of Vertical Angles
two nonadjacent angles formed by two intersecting lines
Definiton of Congruency
having the same measure
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
2:1
2:2
2:3
2:4
Through any 2 points is a line.
Through any three collinear points, there is exactly one plane.
A line that contains at least two points.
A plane contains at least 3 noncollinear points.
2:1
Through any 2 points is a line.
2:2
Through any three collinear points, there is exactly one plane.
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