# Study sets matching "honors geometry chapter 1"

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Segment Addition Postulate

Protractor Postulate

An angle can be named in 4 ways

Angle Addition Postulate

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

To find the measure in degrees of an angle, compute the absolu…

For example : <abc ... 1. <1( if it has a number label)... 2. <b... 3.…

If point b lies in the interior of < AOC then m<AOB+m<BOC =m<A…

Segment Addition Postulate

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

Protractor Postulate

To find the measure in degrees of an angle, compute the absolu…

opposite rays

4 postulates

segment addition postulate

Midpoint

two rays that have a common endpoint and form a line

1. 2 points determine a line ... 2. any 3 noncolinear points dete…

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

divides a segment into 2 congruent segments

opposite rays

two rays that have a common endpoint and form a line

4 postulates

1. 2 points determine a line ... 2. any 3 noncolinear points dete…

Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dire…

Undefined term. No thickness. Flat surface that extends infini…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dire…

Point

Segment

Ray

Line

Represented by a dot

Made up of points and is straight ... Has definite beginning and…

Made up of points and is straight ... Has defiant beginning but c…

Made up of points and is straight... Extends without end

Point

Represented by a dot

Segment

Made up of points and is straight ... Has definite beginning and…

acute angle

adjacent angle

angle

angle bisector

an angle that has a measure greater than 0 but less than 90 de…

angles that are next to each other. they share one ray and the…

a set of points consisting of two different rays that have the…

a ray that divides an angle into two angles that are congruent

acute angle

an angle that has a measure greater than 0 but less than 90 de…

adjacent angle

angles that are next to each other. they share one ray and the…

Point

Line

Planes

Collinear Points

Shows a location ... Has no size

Collection of points ... Must be straight ... Never ends... Not measured

A flat surface... Goes on forever in all directions

Points on the same line

Point

Shows a location ... Has no size

Line

Collection of points ... Must be straight ... Never ends... Not measured

Distance on a number line

Segment Addition Postulate 2

Distance on a coordinate plane

Midpoint on a number line

I a-b I

if Q is between P and R, then PQ+QR=PR. If PQ+QR=PR then Q is…

Distance on a number line

I a-b I

Segment Addition Postulate 2

if Q is between P and R, then PQ+QR=PR. If PQ+QR=PR then Q is…

Point

Line

Plane

Collinear(points)

a location in space and has no size

extends in two opposite directions without end and has no thic…

extends without end and has no thickness

points that all lie on the same line

Point

a location in space and has no size

Line

extends in two opposite directions without end and has no thic…

linear pair

point

line

plane

2 adjacent angles that together form a line//angles are supple…

has no dimension, represented by a dot

has one dimension, infinite

has 2 dimensions, infinite, represented by a flat surface like…

linear pair

2 adjacent angles that together form a line//angles are supple…

point

has no dimension, represented by a dot

What are adjacent angles?

What are vertical angles?

What is are complementary angles?

What is are supplementary angles?

Two coplanar angles with a common side, a common vertex, and n…

Two angles whose sides are opposite rays. The opposite angles…

Two angles whose measures have a sum of 90 degrees. Each angle…

Two angles whose measures have a sum of 180 degrees. Each angl…

What are adjacent angles?

Two coplanar angles with a common side, a common vertex, and n…

What are vertical angles?

Two angles whose sides are opposite rays. The opposite angles…

collinear

coplanar

intersection

line segment

points that lie on the same line

points that lie on the same plane

the set of points 2 or more geometric figures have in common

a finite section of a line with 2 distinct endpoints

collinear

points that lie on the same line

coplanar

points that lie on the same plane

Adjacent Angles

Vertical Angles

Complementary Angles

Supplementary Angles

Angles that are next to each other, don't overlap, but there a…

Two angles that share a vertex and the sides are opposite rays.

2 angles whose sum = 90

2 angles whose sum = 180

Adjacent Angles

Angles that are next to each other, don't overlap, but there a…

Vertical Angles

Two angles that share a vertex and the sides are opposite rays.

Point

Line

Plane

Point, Line and Plane

A basic unit of Geometry with no shape, no size, but with loca…

Made of infinitely many points. Has no thickness or width but…

Has length and width, but no thickness; is a flat surface that…

Three undefined terms of geometry

Point

A basic unit of Geometry with no shape, no size, but with loca…

Line

Made of infinitely many points. Has no thickness or width but…

line

plane

colinear points

coplanar points

connects 2 points, extends indefinitly, has only 1 dimension

has 2 dimensions(length and width), extends indefinitely

at least three points that lie on the same line

at least three points that lie on the same plane

line

connects 2 points, extends indefinitly, has only 1 dimension

plane

has 2 dimensions(length and width), extends indefinitely

Undefined Terms

Point

Line

Plane

point, line and plane. These words do not have formal definiti…

a point has no dimension. It is represented by a dot.

a line has one dimension. It is represented by a line with two…

a plane has two dimensions. It is represented by a shape that…

Undefined Terms

point, line and plane. These words do not have formal definiti…

Point

a point has no dimension. It is represented by a dot.

equidistant

point

line

collinear

-when items are the same distance from something

-an exact location in space

-string of points extending straight infinitely in both direct…

-points that lie on the same line, any two points

equidistant

-when items are the same distance from something

point

-an exact location in space

Postulate 1

Postulate 2

Postulate 3

Postulate 4

A line, a plane, and space each contain an infinite number of…

For every 2 points, there exists unique only one line that con…

For every 3 noncollinear points, there exists unique only one…

If 2 points are in a plane, then the line containing them is i…

Postulate 1

A line, a plane, and space each contain an infinite number of…

Postulate 2

For every 2 points, there exists unique only one line that con…

point

line

line

plane

a location/ has neither shape or size

made up of points and has no thickness or width

there is exactly one through any two points

a flat surface made up of points that extends infinitely in al…

point

a location/ has neither shape or size

line

made up of points and has no thickness or width

Point

Line

Plane

Line segment

Has no dimension represented by a dot

Extend with no end in two dimensions

represented by a shape that looks like a floor but extends wit…

Part of a line has two ends points

Point

Has no dimension represented by a dot

Line

Extend with no end in two dimensions

Point

Line

Plane

Euclid

Names location, has no dimensions (0 dimensional)

Straight path that goes forever in both directions, has no wid…

Flat surface that extends forever, has no thickness (2 dimensi…

Father of geometry

Point

Names location, has no dimensions (0 dimensional)

Line

Straight path that goes forever in both directions, has no wid…

Acute angle

Adjacent angles

angle

angle bisector

An angle that has a measure greater than 0 degrees and less th…

Two angles that share a common vertex and side, but have no co…

A set of points consisting of two different rays that have the…

A ray that divides an angle into two angles that are congruent

Acute angle

An angle that has a measure greater than 0 degrees and less th…

Adjacent angles

Two angles that share a common vertex and side, but have no co…