Euclidean Geometry: Understanding Undefined Terms and Postulates, Slides of Geometry

A comprehensive list of undefined terms and postulates in Euclidean geometry. It covers various vocabulary related to points, lines, planes, dimensions, and intersections. Understanding these foundational concepts is crucial for mastering geometry.

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2021/2022

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

GEOMETRY

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

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry: Dimensions:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry: Point A Dimensions:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry: Point A^ (named with a single letter) Dimensions:

VOCABULARY

1. _________________

2. _________________

3. _________________

Undefined Terms in Geometry: Point Line A (^) (named with a single letter) A

B

Dimensions:

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:

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) C

B

A

Dimensions:

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) C

B

A

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

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) C

B

A

(named with any three non- collinear points on the plane) Dimensions: 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) C

B

A

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

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 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