Transcript Segments, Rays, Parallel Lines and Planes

Segments, Rays, Parallel Lines and Planes
Vocabulary found in Chapter 1 Section 3
Segment,
Ray,
Opposite Rays,
Parallel Lines,
Skew Lines,
Parallel Planes
1. What is the difference between AB and AB?
A
2. Are XY and YX the same Ray?
B
AB
Endpoint
Endpoint
3. Are AB and BA the same Segment?
X
4. Which contains more points AB, AB or XY?
Y
XY
Endpoint
L P
Q
5. Name four different Rays? Name two opposite rays?
E
F
Parallel lines must be Coplanar. (same direction)
A
m
n
m n
AB
H
DC
Read is parallel to.
B
D
G
C
E
Name two lines that are not coplanar that do not intersect?
6. Can two lines be non-coplanar and intersect?
F
A
B
There are two categories of Lines and three types:
Coplanar or
Non-Coplanar
Intersecting
Skew
D
Parallel
C
AB and CG are Skew
Skew Lines do not lie on the same plane.
They are neither parallel nor intersecting.
AD and EF are Skew
B
Planes can either be parallel or intersecting.
T
R
Y
A
X
G
H
1. Line AB continues forever past A and B whereas
Segment AB contains only the points between A and B
2. No, XY and YX are never the same ray because they do not even start at
the same point or go in the same direction.
3. Yes, because the points between A and B are the same as the points between
B and A. That is like reading a class roster forwards and backwards, it is still
the same class.
4. They all contain the same number of points because between any two
points in space lie infinite points.
5. PQ, PL, QP (QL), LP (LQ) : parenthesis denote the same ray.
PQ and PL are Opposite Rays
6. No, If two lines intersect then they share one point. If you then connect the
point of intersection to a separate point on each line you would have three noncollinear points therefore creating a plane. Therefore two intersecting lines are
always coplanar.