Explore:
For each term, compare and contrast the provided examples and non-examples. Then
write a clear and concise definition.
Let’s try the first one as a class.
1.
Endpoint
Examples
Non-Examples
C
B
A
Point A is an endpoint of segment AC.
C
B
A
Point B is NOT an endpoint of segment AC.
Points C is an endpoint of segment AC.
E
E
D
D
F
F
Point D is NOT an endpoint of ray FE.
Point F is an endpoint of ray FE.
Definition:
An endpoint is…
Now, time to try it on your own…
Point E is NOT an endpoint of ray FE.
2.
Collinear Points
Examples
Non-Examples
E
E
D C B
A
D C B
A
Points A, D, C, and B are collinear.
Points A, D, and E are NOT collinear.
G
F
G
F
H
H
I
I
Points F, H, and I are collinear.
Points F, G, and H are NOT collinear.
Definition:
Collinear points are…
***
3.
IMPORTANT NOTE:
A plane is defined by 3 non-collinear points. ***
Coplanar Points
Example
Non-Example
B
A D
B
C
F
A D
C
F
E
E
Points A, D, C, and F are coplanar points.
Points B, C, and D are NOT coplanar points.
Points B, C, and E are coplanar points.
Points A, D, and E are NOT coplanar points.
Definition:
Coplanar points are…
4.
Segment (or Line Segment)
Examples
Non-Examples
O
Y
M
X
N
Q
R
C
A
P
m
AC , MN , and OP
are segments.
XY , QR , and line m are NOT segments.
Definition:
A segment is…
5.
Ray
Examples
Non-Examples
A
E
m
N
C
O
A
W
AN
and
V
EO are rays.
WV , AC , and line m are NOT segments.
Definition:
A ray is…
Now, for a challenge!
6.
Opposite Rays
Examples
Non-Examples
J
A
B
H
C
I
G
BA
and
BC
are opposite rays.
GH
JI
and
are NOT opposite rays.
E
D
DE
and
A
AC
Definition:
Opposite rays are…
and
DF
F
are NOT opposite rays.
B
C
CA are NOT opposite rays.