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# Language & Basis of Geometry

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Author: Rachel Kaplan
##### Description:

To understand:
-points
-lines
-planes
-axioms/postulates
-theorems

In this learning packet, we will define the basic terms used in geometry and provide examples.

(more)

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Tutorial

## Examples of Postulates

```	Postulates

A)  Through any two points, there is exactly one line.

B) Dimension Assumption: Given a line in a plane, there exists a point in the plane not on that line.
C) If two points lie on a plane, the line containing them also lies on the plane.

D) Through three noncolinear points, there is exactly one plane.

E) If two different planes have a point in common, then their intersection is a line.```
```F) A line segment can be extended indefinitely along a line.
```
` `

## Examples of Theorems

Theorems

A) Two different lines intersect in at most one point.
B) If C is between A and B and on , then AC + CB = AB.
Related Theorems:
C) If A, B, and C are distinct points and AC + CB = AB, then C lies on .

D) Pythagorean Theorem: a2 + b2 = c2, if c is the hypotenuse.

Note: While you can usually get away with not knowing the names of theorems, your Geometry teacher will generally require you to know them.