TOPIC 2-2: MORE POINTS, LINES, & PLANES
TOPIC 2-2: MORE POINTS, LINES, & PLANES
Important facts about points, lines, and planes.
➢ Two points determine a _______________.
➢ Three NON-COLLINEAR points determine a ________________.
➢ Three NON-COPLANAR points determine _____________.
➢ The intersection of two lines is a ________________.
➢ The intersection of a line and a plane is a _______________.
➢ The intersection of two planes is a _________________.
EXAMPLE 1
EXAMPLE 2
c) Name the intersection of plane LNO and MN.
Explain:
d) Do S and M determine a line? Why or why not?
e) Name the intersection of UO and MN.
Explain:
EXAMPLE 3
d) Name a set of points, other than those in a) that are coplanar.
Points:
NAME_________________DATE_______________PER.________
MORE POINTS, LINES, & PLANES
Refer to the figure at right to name each of the following.
| |
|a line containing point A:_______________ |
| |
|a line passing through B:_______________ |
| |
|two points collinear with point D:__________ |
| |
|two points coplanar with point B:__________ |
| |
|a plane containing points B, C, and E: |
| |
|____________________________________ |
| |
|the intersection of lines p and q: |
| |
|____________________________________ |
Refer to the figure below to answer each question. The figure is a rectangular prism formed by six planes. Only a portion of each plane is shown.
| |
|Name the two planes: |
| |
|______________________________________ |
| |
|Name three points that are coplanar with points B and |
| |
|D:______________________________________ |
| |
|Name the lines that intersect at B:_______________ |
| |
|__________________________________________ |
| |
|Which two planes intersect in CE? |
| |
|__________________________________________ |
| |
|Name two points collinear with E: |
| |
|_________________________________________ |
| |
|Name a plane and a line that intersect at B: |
| |
|_________________________________________ |
| |
|Are A, B, C, and F coplanar? Why or why not? |
| |
|__________________________________________ |
-----------------------
A
B
C
X
Y
R
THINGS WE KNOW FROM THE PICTURE:
1)X, B, and Y are ________________.
2)A, B, and C are _______________.
3)R and AC intersect at __________.
4)BA and BC are ________________.
5)X, B, Y, and C are ________________.
N
O
M
L
S
T
R
U
Q
a) Are points S, O, Q, and M coplanar?
Why or why not?
b) Name the intersection of planes
LON and NQM:
Explain:
➢
a) Name three points that determine plane J.
Points:
b) Name the intersection of planes J and K.
Intersection:
c) Name a set of collinear points, and a set
of non-collinear points.
Collinear Points: Non-Collinear Points:
V
W
Z
Y
X
J
K
U
A#2-2
r
q
R
A
B
C
D
E
F
p
A#2-1 PG. 2
B
C
D
F
G
H
I
E
A
................
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