EUCLIDEAN GEOMETRY

Undefined Terms & Postulates(Section 1-6, 1-7)

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point A

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point A (named with a single letter)

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

A (named with a single letter)

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

A (named with a single letter)

A B

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

A (named with a single letter)

A B(named with any two points on the line)

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

Plane

A (named with a single letter)

A B(named with any two points on the line)

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

Plane

A (named with a single letter)

A B(named with any two points on the line)

CB

A

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

Plane

A (named with a single letter)

A B(named with any two points on the line)

CB

A(named with any three non-collinear points on the plane)

Dimensions:

Undefined Terms in Geometry:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

Plane

A (named with a single letter)

A B(named with any two points on the line)

CB

A(named with any three non-collinear points on the plane)

Dimensions:

Undefined Terms in Geometry:

One-Dimensional: an object where all points lie in a single line

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

Plane

A (named with a single letter)

A B(named with any two points on the line)

CB

A(named with any three non-collinear points on the plane)

Dimensions:

Undefined Terms in Geometry:

One-Dimensional: an object where all points lie in a single line

Two-Dimensional: an object where all points lie in a single plane

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry:

Point

Line

Plane

A (named with a single letter)

A B(named with any two points on the line)

CB

A(named with any three non-collinear points on the plane)

Dimensions:

Undefined Terms in Geometry:

One-Dimensional: an object where all points lie in a single line

Two-Dimensional: an object where all points lie in a single plane

Three-Dimensional: an object where points lie in multiple planes

MORE VOCABULARY

MORE VOCABULARY

Figure: a set of points

MORE VOCABULARY

Figure: a set of points

Space: The set of all points

MORE VOCABULARY

Figure: a set of points

Space: The set of all points

Collinear: three or more points that lie on the same line

MORE VOCABULARY

Figure: a set of points

Space: The set of all points

Collinear: three or more points that lie on the same line

Coplanar: four or more points that lie on the same plane

MORE VOCABULARY

Figure: a set of points

Space: The set of all points

Collinear: three or more points that lie on the same line

Coplanar: four or more points that lie on the same plane

Postulate: a statement that is assumed or generally accepted as true

MORE VOCABULARY

Figure: a set of points

Space: The set of all points

Collinear: three or more points that lie on the same line

Coplanar: four or more points that lie on the same plane

Postulate: a statement that is assumed or generally accepted as true

Theorem: a statement that has been proven using postulates, properties, definitions or previously-proven theorems

Point-Line-Plane PostulateUnique Line Assumption:

Number Line Assumption:

Point-Line-Plane Assumption:

Through any two points, there is exactly one line.

Every line is a set of points that can be put in a one-to-one correspondence with the real number line.

Given a line on a plane, there is at least one point on the plane that is not on the line.

INTERSECTIONS

INTERSECTIONS

Line-Intersection Theorem: two different lines can intersect in at most one point

INTERSECTIONS

Line-Intersection Theorem: two different lines can intersect in at most one point

INTERSECTIONS

Line-Intersection Theorem: two different lines can intersect in at most one point

INTERSECTIONS

Line-Intersection Theorem: two different lines can intersect in at most one point

Parallel Lines: lines that have no points in common, or lines that are identical