# Study sets matching "geometry postulates"

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ruler postulate

Segment Addition Postulate (Seg. Add. P…

Protractor Postulate

Angle Addition Postulate

1.)points must be put on a number line... 2.)the distance between…

if B is between A and C, then AB+BC=AC (page 12 in book)

used to find the measure of an angle... 1.) take the absolute val…

m<AOB + m<BOC = m< AOC

ruler postulate

1.)points must be put on a number line... 2.)the distance between…

Segment Addition Postulate (Seg. Add. P…

if B is between A and C, then AB+BC=AC (page 12 in book)

A-A-S (Angle-Angle-Side) Theorem

parallel lines

skew lines

parallel planes

if two angles and any side of one triangle are congruent to tw…

two coplanar lines that do not intersect

two lines that do not intersect and are not coplanar

two planes that do not intersect

A-A-S (Angle-Angle-Side) Theorem

if two angles and any side of one triangle are congruent to tw…

parallel lines

two coplanar lines that do not intersect

1-1-1

1-1-2

1-1-3

1-1-4

Through any two points there is exactly one line

through any three noncollinear point there is exactly one plan…

If two points lie in a plane than that line containing those p…

if two lines intersect, then they intersect in exactly one poi…

1-1-1

Through any two points there is exactly one line

1-1-2

through any three noncollinear point there is exactly one plan…

Supplementary Angles

Complementary Angles

Linear Pair

Vertical Angles

Angles that add to 180 degrees.... m<1+m<2=180

Two angles whose sum is 90 degrees.... m<1+m<2=90

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

A pair of opposite congruent angles formed by intersecting lin…

Supplementary Angles

Angles that add to 180 degrees.... m<1+m<2=180

Complementary Angles

Two angles whose sum is 90 degrees.... m<1+m<2=90

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.

Isometry

Transformation

Rigid Motion

Pre-image

A transformation that is rigid

A change in position, size, or shape of a geometric figure

Transformations that preserve distance and angle measure.

The original picture

Isometry

A transformation that is rigid

Transformation

A change in position, size, or shape of a geometric figure

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 exac…

Through any three noncollinear points there is exactly one pla…

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…

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

Through any two points there exists exactly one line

If two points lie in a plane then the line that contains them…

Through any 3 non collinear points there exists exactly one pl…

If two distinct lines intersect, then their intersection is ex…

Postulate 1

Through any two points there exists exactly one line

Postulate 2

If two points lie in a plane then the line that contains them…

Plane Intersection Postulate

Line Intersection Postulate

Line Point Postulate

Plane Line Postulate

If two planes intersect, then their intersection is a line

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

A line contains at least two points

If two points lie on a plane, then the line containing them li…

Plane Intersection Postulate

If two planes intersect, then their intersection is a line

Line Intersection Postulate

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

Parallel Postulate

Corresponding Angles Converse

Alternate Exterior Angles Converse

Alternate Interior Angles Converse

if given a line and a point not on the line, then there exists…

if 2 lines are cut by a transversal so that corresponding angl…

if 2 lines are cut by a transversal so that a pair of alternat…

if 2 lines are cut by transversal so that a pair of alternate…

Parallel Postulate

if given a line and a point not on the line, then there exists…

Corresponding Angles Converse

if 2 lines are cut by a transversal so that corresponding angl…

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 non-collinear points there exists exactly on…

Postulate 5

through any two points there exists exactly one line

Postulate 6

a line contains at least two points

Segment Addition Postulate

Ruler Postulate

Angle Addition Postulate

Two Point Postulate

The equation used to add adjacent non-overlapping segments.

The distance between two points is the absolute value of the d…

The equation used to add adjacent non-overlapping angles.

Through any two points, there exists exactly one line.

Segment Addition Postulate

The equation used to add adjacent non-overlapping segments.

Ruler Postulate

The distance between two points is the absolute value of the d…

If B is between A and C,...

Angle Addition Postulate

A line contains at least two points; a…

Through any two points...

then AB + BC = AC

If point B lies in the interior of angle AOC, then the measure…

space contains at least four points not all in one plane.

there is exactly one line.

If B is between A and C,...

then AB + BC = AC

Angle Addition Postulate

If point B lies in the interior of angle AOC, then the measure…

1-1-1 Postulate

1-1-2 Postulate

1-1-3 Postulate

1-1-4 Postulate

Through any 2 points there is exactly 1 line

Through any 3 non-collinear points there is exactly 1 plane co…

If 2 points lie in a plane, then the line containing those poi…

If 2 lines intersect, then they intersect in exactly 1 point.

1-1-1 Postulate

Through any 2 points there is exactly 1 line

1-1-2 Postulate

Through any 3 non-collinear points there is exactly 1 plane co…

a line contains...

a plane contains...

a space contains...

through any 2 points...

...at least 2 points

...at least 2 points, not all on one line

...at least 4 points, not all in one plane

...there is exactly one line

a line contains...

...at least 2 points

a plane contains...

...at least 2 points, not all on one line

P1

P2

P3

P4

The points on a line can be paired in a one-to-one corresponde…

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

Given a point X on (line)PR, consider rays XP and XR, as well…

If point D is in the interior of (angle)ABC, then ... m(angle)ABD…

P1

The points on a line can be paired in a one-to-one corresponde…

P2

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

2.1

2.2

2.3

2.4

Through any two points, there is exactly one line

Through any three noncollinear points, there is exactly one pl…

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 three noncollinear points, there is exactly one pl…

2.1

2.2

2.3

2.4

Through any 2 points, there is exactly one line.

Through any 2 points, there is exactly one plane.

A line contains at least 2 points.

A plane contains at least 3 non-collinear points.

2.1

Through any 2 points, there is exactly one line.

2.2

Through any 2 points, there is exactly one plane.

Though any 2 points there exists exactl…

A line contains at least 2 points

If two lines intersect, then their inte…

Though any three noncollinear points th…

postulate 5

postulate 6

postuate 7

postulate 8

Though any 2 points there exists exactl…

postulate 5

A line contains at least 2 points

postulate 6

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

through any two points, there exists exactly one line

through any three noncollinear points there exists exactly one…

if two points lie in a plane, then the line containing them li…

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

Postulate 1-1

through any two points, there exists exactly one line

Postulate 1-2

through any three noncollinear points there exists exactly one…

1

2

3

4

Through any two points there is exactly one line

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

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

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

1

Through any two points there is exactly one line

2

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

Through any two points, there is exactl…

Through any three noncollinear points,…

A line contains at least 2 points

A plane contains at least three noncoll…

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactl…

Postulate 2.1

Through any three noncollinear points,…

Postulate 2.2