# Study sets matching "postulates geometry math"

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Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then the pair o…

Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then the pair o…

Two Point Postulate

Line-Point Postulate

Line Intersection Postulate

Three Point Postulate

Through any two points there is exactly one line.

A line contains at least two points.

If two lines intersect then they intersect in exactly ONE poin…

Through any three noncollinear points there is exactly one pla…

Two Point Postulate

Through any two points there is exactly one line.

Line-Point Postulate

A line contains at least two points.

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Distance Postulate

Ruler Postulate

Ruler Placement Postulate

Line Postulate

To every pair of different points there is a unique positive n…

Points of a line can be placed in correspondence with the real…

The coordinate system can be chosen so that P is zero and the…

For every two different points, there is exactly one line that…

Distance Postulate

To every pair of different points there is a unique positive n…

Ruler Postulate

Points of a line can be placed in correspondence with the real…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with real numbe…

If B is between A & C, then AB + BC = AC

Consider Ray OB and a point A on one side of Ray OB. The rays…

If P is in the interior of <RST, then m<RST + m<RSP = m<PST

Ruler Postulate

The points on a line can be matched one to one with real numbe…

Segment Addition Postulate

If B is between A & C, then AB + BC = AC

Segment Addition postulate

Alternate Interior Angles Theorem

Reflexive Property of Equality -real nu…

Reflexive Property of Equality -segment…

AB+BC=AC

If two parallel lines are cut by a transversal then the pair o…

For any real number a, a=a

For any segment AB, AB=AB

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then the pair o…

Transitive Property

symmetric property

reflexive property

substitution property

if a=b and b=c then a=c

if a=b then b=a

for any real number a, a=a

if a=b then a can be substituted for binary equation/expression

Transitive Property

if a=b and b=c then a=c

symmetric property

if a=b then b=a

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

Corollary to the Polygon Interior... Angle…

Polygon Exterior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

The sum of the measures of the interior angles of a... quadrilate…

The sum of the measures of the exterior angles of a convex pol…

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of a…

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…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of a…

Postulate 1.1 - Ruler Postulate

Postulate 1.2 - Segment Addition Postul…

Postulate 1.3 - Protractor Postulate

Postulate 1.4 - Angle Addition Postulate

The points on a line can be matched one to one with real numbe…

If B is between A and C, then AB+BC=AC... If AB+BC=AC, then B is…

The measure of <AOB, which can be written as m<AOB, is equal t…

If P is in the interior of <RST, then the measure of <RST is e…

Postulate 1.1 - Ruler Postulate

The points on a line can be matched one to one with real numbe…

Postulate 1.2 - Segment Addition Postul…

If B is between A and C, then AB+BC=AC... If AB+BC=AC, then B is…

Postulate 5

Postulate 6

Postulate 7

Postulate 8

Through any two points there exists exactly one line

A line contains at least two points

If two lines intersect, then their intersection is exactly one…

Through any three noncollinear points there exists exactly one…

Postulate 5

Through any two points there exists exactly one line

Postulate 6

A line contains at least two points

Through any 2 points there is exactly 1…

If 2 different lines intersect, they in…

If 2 different planes intersect, they i…

Through any 3 noncollinear points there…

if line t passes through points A and B, it is the only line t…

if points Q, R, S are noncollinear, plane P is the only plane…

Through any 2 points there is exactly 1…

if line t passes through points A and B, it is the only line t…

If 2 different lines intersect, they in…

Postulate 1

Postulate 2

Postulate 3

Postulate 4

A line segment can be extended infinitely in both directions

Through two points, exactly one line can be drawn (two points…

The intersection of two lines is at most one point

Through a given point on a given line, there exists exactly on…

Postulate 1

A line segment can be extended infinitely in both directions

Postulate 2

Through two points, exactly one line can be drawn (two points…

converse of the Alternate Interior Angl…

converse of the same-side interior angl…

converse of the alternate exterior angl…

converse of the corresponding angles th…

If two lines and a transversal form alternate interior angles…

If two lines and a transversal form same-side interior angles…

if two lines and a transversal form alternate exterior angles…

if two lines and a transversal form corresponding angles that…

converse of the Alternate Interior Angl…

If two lines and a transversal form alternate interior angles…

converse of the same-side interior angl…

If two lines and a transversal form same-side interior angles…

Triangle Longer Side Theorem

Triangle Larger Angle Theorem

Triangle Inequality Theorem

Pythagorean Theorem

If one side of a triangle is longer than another side, then th…

If one angle of a triangle is larger than another angle, then…

The sum of the lengths of any two sides of a triangle is great…

In a right triangle, the square of the length of the hypotenus…

Triangle Longer Side Theorem

If one side of a triangle is longer than another side, then th…

Triangle Larger Angle Theorem

If one angle of a triangle is larger than another angle, then…

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line

Through any three noncolinear points there is exactly one plane

a line contains at least two points

A plane contains at least 3 non-collinear points

Postulate 2.1

Through any two points, there is exactly one line

Postulate 2.2

Through any three noncolinear points there is exactly one plane

Collinear Points

Noncollinear Points

Coplanar Points

Noncoplanar

Points that are all in one line

Points that are not in one line

Points that are in one plane

Points that are in multiple planes

Collinear Points

Points that are all in one line

Noncollinear Points

Points that are not in one line

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line

If two distinct lines intersect, then they intersect in exactl…

If two distinct planes intersect, then they intersect in exact…

Through any three non collinear points there is exactly one pl…

Postulate 1-1

Through any two points there is exactly one line

Postulate 1-2

If two distinct lines intersect, then they intersect in exactl…

Collinear

Linear Pair

Supplementary angles

Vertical Angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite r…

Two angles whose sum is 180 degrees

A pair of opposite congruent angles formed by intersecting lin…

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite r…

Right Angles Congruence Theorem

Congruent Complements Theorem

Congruent Supplements Theorem

Linear Pair Postulate

All right angles are congruent.

If two angles are complementary to the same angle, (or to cong…

If two angles are supplementary to the same angle, (or to cong…

If two angles form a linear pair, then they are supplementary.

Right Angles Congruence Theorem

All right angles are congruent.

Congruent Complements Theorem

If two angles are complementary to the same angle, (or to cong…

Complementary angles

Supplementary angles

Theorem

Vertical Angles

two angles whose measures have a sum of 90°

two angles who measures have a sum of 180°

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

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altitude of a triangle

Centroid

Circumcenter

Concurrent

The perpendicular segment from a vertex of a ... triangle to the…

The point of concurrency of the three medians of a triangle.

The point of concurrency of the three ... perpendicular bisectors…

Three or more lines, rays, or segments that ... intersect in the…

altitude of a triangle

The perpendicular segment from a vertex of a ... triangle to the…

Centroid

The point of concurrency of the three medians of a triangle.

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with real numbe…

If B is between A & C, then AB + BC = AC

Consider Ray OB and a point A on one side of Ray OB. The rays…

If P is in the interior of <RST, then m<RST + m<RSP = m<PST

Ruler Postulate

The points on a line can be matched one to one with real numbe…

Segment Addition Postulate

If B is between A & C, then AB + BC = 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