# Study sets matching "postulates geometry math"

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Point

Line

Segment

Ray

A dot represented by a letter.

Two points determine a line. A line is never ending.

Two points determine a segment. A segment has a definite end a…

Two points determine a ray. A ray has one definite end and a n…

Point

A dot represented by a letter.

Line

Two points determine a line. A line is never ending.

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.

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

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

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…

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…

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

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…

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…

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…

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 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

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°

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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. ... If AB + BC = AC,…

Consider line OB and a point A on one side of line OB. The ray…

Words: If P is in the interior of ∠RST, then the measure of ∠R…

Ruler Postulate

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

Segment Addition Postulate

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

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent a…

If 2 angles are complementary to the same angle or congruent a…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

2.1

2.2

2.3

2.4

Through any two points, there is exactly one line

Through any 3 noncollinear points, there is exactly 1 plane

A line contains at least two points

A plane contains at least three noncollinear points

2.1

Through any two points, there is exactly one line

2.2

Through any 3 noncollinear points, there is exactly 1 plane

Segment Addition Postulate

Angle Addition Postulate

Definition of Midpoint & Bisector

Definition of Angle Bisector

If B is between A and C then the length of AC is equal to the…

If P is in the interior of ∠RST then the measure of ∠RST is th…

A bisector bisects a line segment at its midpoint which divide…

A ray that divides an angle into two adjacent angles that are…

Segment Addition Postulate

If B is between A and C then the length of AC is equal to the…

Angle Addition Postulate

If P is in the interior of ∠RST then the measure of ∠RST is th…

Triangle Sum Theorem

Exterior Angle Theorem

Corollary to the Triangle Sum Theorem

Properties of Triangle Congruence

The sum of the measures of the interior angles of a triangle i…

The measure of an exterior angle of a triangle is equal to the…

The acute angles of a right triangle are complementary.

Triangle congruence is reflexive, symmetric, and transitive.... R…

Triangle Sum Theorem

The sum of the measures of the interior angles of a triangle i…

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the…