#### Study sets matching "postulates geometry math"

#### Study sets matching "postulates geometry math"

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

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

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

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

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

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

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

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 o…

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 Ang…

converse of the same-side interior ang…

converse of the alternate exterior ang…

converse of the corresponding angles t…

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 Ang…

If two lines and a transversal form alternate interior angles…

converse of the same-side interior ang…

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

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…

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

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 t…

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

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

angle less than 90*

Def. of congruent

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

Def. of midpoint

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

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

Through any 2 points there is exactly…

If 2 different lines intersect, they i…

If 2 different planes intersect, they…

Through any 3 noncollinear points ther…

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

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

Through any 2 points there is exactly…

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

If 2 different lines intersect, they i…

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 t…

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

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

Ray that divides an angle into two congruent adjacent angles…

Def. of congruent

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

Def. of midpoint

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

point

plane

line

collinear points

a location (undefined term)

a flat surface made up of points; has no depth and extends in…

made up of points and has no thickness or width (undefined te…

points on the same line

point

a location (undefined term)

plane

a flat surface made up of points; has no depth and extends in…

Linear pair

Angle bisector

Congruent angles

Congruent segments

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

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

Angles that have the same measure

Segments that have the same length

Linear pair

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

Angle bisector

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

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…

Vertical angles are congruent.

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

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

Congruent Supplements Theorem

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

Vertical Angles Theorem

Vertical angles are congruent.

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 numb…

Segment Addition Postulate

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

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…

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 ... equi…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

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

Reflexive Property of Equality (Refl.…

Symmetric Property of Equality (Symm.…

Transitive Property of Equality (Trans…

Substitution Property of Equality (Sub…

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 expres…

Reflexive Property of Equality (Refl.…

a=a

Symmetric Property of Equality (Symm.…

If a=b, the b=a

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 opposit…

Complementary Angles

2 angles whose sum is always 90 degrees

Supplementary Angles

2 angles whose sum is always 180 degrees

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 ra…

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

Ruler Postulate

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

Segment Addition Postulate

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

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

Corollary to the Polygon Interior... Angl…

Polygon Exterior Angles 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…

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

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

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…

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

The acute angles of a right triangle are complementary.

Triangle congruence is reflexive, symmetric, and transitive.…

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…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 numb…

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 real numb…

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 numb…

Segment Addition Postulate

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

Tangent Line to a Circle Theorem

External Tangent Congruence Theorem

Arc Addition Postulate

Congruent Circles Theorem

In a plane, a line is tangent to a circle if and ony if the l…

Tangent segments from a common external point are conruent.

The measure of an arc formed by two adjacent arcs is the sum…

Two circles are congruent circles if and only if they have th…

Tangent Line to a Circle Theorem

In a plane, a line is tangent to a circle if and ony if the l…

External Tangent Congruence Theorem

Tangent segments from a common external point are conruent.