Geometry
1.1 Points, Lines, and Planes
Name ______________________________
Date ________________ Period ______
Objectives
Identify, name, and draw points, lines, segments, rays, and planes.
Apply basic facts about points, lines, and planes.
Definition – Uses __________ words to describe a ________ word.
Description
Three Undefined Terms
Point has _____ dimension.
It is usually represented by a
_______ ________
Line extends in _____ dimension. It
is usually represented by a straight
line with two arrowheads to indicate
that the line extends without end in
______ ___________
Plane extends in _____
dimensions. It is usually
represented by a shape that looks
like a tabletop or wall. You must
imagine that the plane extends
__________ _____, even though
the drawing of a plane appears to
have edges.
Name
Picture
Description
Collinear points are ___________ that lie on
the same ____________.
Picture
Geometry 1.1 Points, Lines, and Planes
Coplanar points are ______________ that lie on
the same ________________.
Example 1
a. Name a point.
b. Name a line.
c. Name a plane.
d. Name three points that are collinear.
e. Name three points that are not collinear.
f. Name four points that are coplanar.
g. Name four points that are not coplanar.
Between - a point is between two other points if the three points are _______________.
Intersect – to have one or more __________ in common.
Intersection - the set of ___________ that two or more geometric figures have in ___________.
Description
Line Segment (Segment) Part of a
line that consists of ______ points,
called endpoints, and all points on the
line that are between the
________________.
Name
Picture
Geometry 1.1 Points, Lines, and Planes
Ray Part of a line that
consists of a ________,
called an initial point, and all
points on the line that extend
in _______ direction.
Opposite Rays If C is
___________ A and B, then
⃗⃗⃗⃗⃗
⃗⃗⃗⃗⃗ are opposite rays.
𝐶𝐴 and 𝐶𝐵
Example 2
Name each of the following:
a. Name two opposite rays.
⃗⃗⃗⃗⃗ .
b. A point on 𝐵𝐶
c. The intersection of plane N and Plane T.
d. A point in Plane N that is not in Plane T.
Example 3
Draw and label each of the following.
⃡⃗⃗⃗ , 𝐾𝐿
̅̅̅̅, and 𝐿𝐽
⃗⃗⃗ .
a. three noncollinear points, J, K, L. Then draw 𝐽𝐾
b. opposite rays with a common endpoint T.
⃡⃗⃗⃗⃗ and 𝑆𝑇
̅̅̅̅ that intersect at point M.
c. 𝑄𝑅
Example 4
Draw and label each of the following.
a. a figure that shows a line that lies in a plane.
Geometry 1.1 Points, Lines, and Planes
⃡⃗⃗⃗⃗ intersect plane S at point C.
b. a figure that shows 𝐴𝐵
Line Pairs
Description
Parallel lines –
____________ lines that
do not ______________
Perpendicular Lines –
two lines that
____________ to form
____________ angles.
Intersecting Lines –
Lines that _________.
Name
Picture
Example 5
Identify each of the following.
a. a pair of parallel segments
b. a pair of perpendicular segments
c. a pair of skew segments
What do you notice about all of the intersecting lines in this picture?
Draw a new picture where this is not true.
Geometry 1.1 Points, Lines, and Planes
Skew Lines - ______
____________ lines
that do not
_______________