# Study sets matching "postulates geometry math"

Study sets

Diagrams

Classes

Users

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…

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

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…

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…

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 2 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

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.

Def. of congruent

Def. of midpoint

Segment bisector

Def. of acute

When two angles or lines are equal size. ... Ex. If line AD=BC th…

Divides a segment into two congruent segments... Ex. If f is the…

Point, line, segment, Ray, or plane, that divides a segment in…

angle less than 90*

Def. of congruent

When two angles or lines are equal size. ... Ex. If line AD=BC th…

Def. of midpoint

Divides a segment into two congruent segments... Ex. If f is the…

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…

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

Segment Addition Postulate

Definition of Congruent Segments

Definition of a midpoint

Definition of a bisector of a segment

A-B-C ... AB + BC = AC

Segments with Equal lengths

the point that divides the segment into two congruent segments

a line, segment, or ray that intersects the segment at its mid…

Segment Addition Postulate

A-B-C ... AB + BC = AC

Definition of Congruent Segments

Segments with Equal lengths

Def. of congruent

Def. of midpoint

Segment bisector

Def. of angle bisector

When two angles or lines are equal size. ... Ex. If line AD=BC th…

Divides a segment into two congruent segments... Ex. If f is the…

Point, line, segment, Ray, or plane, that divides a segment in…

Ray that divides an angle into two congruent adjacent angles... E…

Def. of congruent

When two angles or lines are equal size. ... Ex. If line AD=BC th…

Def. of midpoint

Divides a segment into two congruent segments... Ex. If f is the…

Linear pair

Angle bisector

Congruent angles

Congruent segments

Two adjacent angles that form online who's noncommon sides are…

A line, ray, or segment that divides an angle into two adjacen…

Angles that have the same measure

Segments that have the same length

Linear pair

Two adjacent angles that form online who's noncommon sides are…

Angle bisector

A line, ray, or segment that divides an angle into two adjacen…

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

Congruent Supplements Theorem

Vertical Angles Theorem

Alternate interior angles theorem

Alternate exterior angles theorem

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

Vertical angles are congruent.

If two parallel lines are cut by a transversal, then the alter…

If two parallel lines are cut by a transversal, then the alter…

Congruent Supplements Theorem

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

Vertical Angles Theorem

Vertical angles are congruent.

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…

Reflexive Property of Equality (Refl. P…

Symmetric Property of Equality (Symm. P…

Transitive Property of Equality (Trans.…

Substitution Property of Equality (Subs…

a=a

If a=b, the b=a

If a=b and b=c, the a=c

If a=b, then a may be replaced by b in any equation or express…

Reflexive Property of Equality (Refl. P…

a=a

Symmetric Property of Equality (Symm. P…

If a=b, the b=a

Two Point Postulate

Line Point Postulate

Line Intersection Postulate

3 point postulate

Through any 2 points, there exists exactly one line.

A line contains at least 2 points.

If 2 lines intersect, then their intersection is exactly one l…

Through any 3 nonlinear points there exists exactly one plane.

Two Point Postulate

Through any 2 points, there exists exactly one line.

Line Point Postulate

A line contains at least 2 points.

Complementary Angles

Supplementary Angles

Adjacent Angles

Linear Pair of Angles

2 angles whose sum is always 90 degrees

2 angles whose sum is always 180 degrees

A pair of angles that share a common side, and have no common…

A pair of adjacent angles whose non-common sides form opposite…

Complementary Angles

2 angles whose sum is always 90 degrees

Supplementary Angles

2 angles whose sum is always 180 degrees

Exterior angle inequality thm

Addition prop of inequality

Subtraction prop of inequality

Multiplication prop of inequality

the meas. of an ext. angle of a triangle is > than either remo…

If a > b and c > or = to d, then a + c > b + d

If a > b and c = d, or if c = d and a > b, then a - c > b - d,…

If a > b and c > 0, then ca > cb... If a > b and c < 0, then ca <…

Exterior angle inequality thm

the meas. of an ext. angle of a triangle is > than either remo…

Addition prop of inequality

If a > b and c > or = to d, then a + c > b + d

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…

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,…