TOPIC 2-2: MORE POINTS, LINES, & PLANES



MORE POINTS, LINES, & PLANES

Important facts about points, lines, and planes.

➢ Two points determine a _______________.

➢ Three NON-COLLINEAR points determine a ________________.

➢ 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

EXAMPLE 3

1.1 Practice: Points, Lines, & Planes

Use the figure to name each of the following:

1. Three points

2. Two lines

3. Two planes

4. Point on [pic]

5. Three collinear points

6. Four coplanar points

Draw and label each of the following.

7. A segment with endpoints M and N

8. A ray with endpoint F that passes through G

9. A line containing X and Y

10. A pair of opposite rays that both contain R

Sketch a figure that shows each of the following.

11. Three coplanar lines that intersect in a common point

12. Two lines that do not intersect

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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 ________________.

A

B

C

X

Y

R

a) Are points S, O, Q, and M coplanar?

Why or why not?

b) Name the intersection of planes LON and NQM:

Explain:

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:

➢

N

O

M

L

S

T

R

U

Q

a) Name three points that determine plane J.

Points:

b) Name a set of collinear points, and a set of non-collinear points.

Collinear: Noncollinear:

c) Name a set of points, other than those in a) that are coplanar.

Points:

V

W

Z

Y

X

J

K

U

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