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? |

| |

|__________________________________________ |

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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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