Probability Review

Points, Lines, and Planes

GeometryMr. ZampettiUnit 1, Day 4

Definition

Point: a location in space. A point has no size, but is represented by a dot labeled with a capital letter.

A

PQZ

Definition

Space: the set of all points

Definition

Line: a series of points that extends without end in two opposite directions.

PQ

l

Definition

Collinear: points that lie on the same line.

PQ

R

Definition

Plane: a flat surface that extends in all directions without end.

Definition

• Coplanar: points and lines that are in the same plane.

Practice

1. How many planes are represented by the surfaces of the cube?

2. Name the plane of the front of the cube in multiple ways.

3. Name a point that is coplanar with the given points:

1. E, F, G 2. B, C, G4. Name Lines that are coplanar with AB

and DC

Definition

Postulate: an accepted statement of fact.

Four Basic Postulates

1-1: Through any two points there is exactly one line.

1-2: If two lines intersect, then they intersect in exactly one point.

1-3: If two planes intersect, then they intersect in a line.

1-4: Through any three noncollinear points there is exactly one plane.

Homework

Homework Packet:Points, Lines, and

Planes