Chapter 1.1 - Points, Lines, Planes, Rays and Line Segments

plane

-is a set of points (at least 3 noncollinear points) -is flat -extends in all directions -is named using any three noncollinear points (capital printed letters) in any order or a single capital letter - no symbol

line

-is a set of points (at least two) -is straight -extends indefinitely in two directions -is named using any two points (capital printed letters) on the line in any order, or a single lower case letter -symbol: <--->

ray

-is part of a line -has one endpoint and extends indefinitely in one direction -is name using two points (capital printed letters), with the endpoint listed first and any other point on the ray -symbol: --->

line segment

-is part of a line -has two endpoints -is named using the endpoints (two capital printed letters) in any order symbol: ---- *This is the first geometric figure that can be measured*

point

-represents a location -has no specific size -is labeled and named with a printed, capital letter -no symbol

angle

-two rays with a common endpoint -is named using three points (three capital printed letters), with the vertex in the middle -symbol: < *Is one of the geometric figures that can be measured (in degrees or radians)*

Postulate: If there are two points in a plane, then the line that contains them is ___________ _______ __________ _______________. (4 words)

also in that plane

congruent angles

angles with the same measure

Postulate: If two planes intersect, then their intersection is a _______________.

line

coplanar lines

lines that are located in the same plane

skew lines

lines that are not parallel and are noncoplanar

Postulate: If there are 3 noncollinear points, then there is one ______________ that contains them.

plane

Postulate: If two lines intersect, then their intersection is a _______________.

point

*coplanar points

points that are all located in the same plane

collinear points

points that are all located on the same line

congruent segments

segments that have the same length

vertex of an angle

the common endpoint in an angle

endpoint of a ray

the point where the ray begins

endpoints of a line segment

the point where the segment begins and the point where the segment ends

sides of an angle

the rays of the angle that begin with the common endpoint

Postulate: A plane contains at least ____________ _________________ points.

three (3) noncollinear

Postulate: A line contains at least _____ points.

two (2)

congruent

two figures with the same measure