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1.2 Points, Lines, and Planes. Chapter 1 Tools of Geometry. 1.2 Points, Lines, and Planes. Point : a location; has no size; represented by a small dot and is named by a capital letter Space : set of all points. Line : series of points that extends to two opposite directions

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1 2 points lines and planes

1.2 Points, Lines, and Planes

Chapter 1 Tools of Geometry

1 2 points lines and planes2
1.2 Points, Lines, and Planes

Point: a location; has no size; represented by a small dot and is named by a capital letter

Space: set of all points

Line: series of points that extends to two opposite directions

Collinear Points: points that lie on the same line

slide3

n

C

F

E

m

P

Are points E, F, and C collinear?

If so, name the line on which they lie.

Are points E, F, and D collinear?

If so, name the line on which they lie.

Are points F, P, and C collinear?

If so, name the line on which they lie.

Name line m in three other ways.

D

l

slide4
Plane: Flat surface that has no thickness; contains many points and lines; named by a single capital letter or at least three of its noncollinear points

Coplanar: points and lines in the same plane

slide5

H

G

Each surface of the ice cube represents part of a plane. Name the plane represented by the front of the ice cube.

E

F

D

C

A

B

List three different names for the top of the ice cube.

slide6
Postulate or axiom: accepted statement of fact

Postulate 1-1:

Through any two points there is exactly one line

Postulate 1-2:

If two lines intersect, then they intersect in exactly one point.

B

A

slide7
Postulate 1-3:

If two planes intersect, then they intersect in exactly

one line.

Postulate 1-4:

Through any three noncollinear points there is exactly one plane.

slide8

H

G

What is the intersection of plane HGFE and plane BCGF?

E

F

D

C

A

B

Name two planes that intersect in BF

*Look in book at example 4, page 13

homework
Homework

Pg 13 1-37, 60-65