**Angus Warren**

**Transformations**

There are four basic types of transformation.

What is a Transformation?

any change made to a geometric figure's location, orientaion, shape, or size.

A Transformation is

and other vocab.

An Isometry is

any transformation in which the preimage and image are congruent.

A Preimage is

the original figure

An Image is

the figure after transformation

These are reflection, rotation, translation, and glide reflection.

All of the transformations occur often in the real world.

Watch and ye shall see.

Reflection

is the flipping of an object or series of objects across a given line.

almost...

Here's the line of reflection.

Rotation

is the turning of an object a certain number of degrees around a given point.

Translation

is the movement of an object across a plane following a given rule of translation.

Glide Reflection

is the combination of the translation of an object and the reflection of the same object across a line parallel to the line of translation.

270 degrees

90 degrees

point of rotation

40 degrees

180 degrees

270 or 90 degrees

This translation occurs straight down the imagined y-axis

In this double transformation, pillar A translates to B, B goes to C, and C translates to D along the imagined x-axis.

A

B

C

D

Translations are riddled throughout this one.

1.

2.

3.

1.

2.

3.

Translation

Reflection

or

Reflection

Translation

Though this next one is technically not a glide reflection because the line of reflection is not parallel to the line of translation, it comes close.

Reflection

Translation

Translation

Reflection

The Classic

The motion of a knight in chess.

**All of them appear frequently in the real world.**

**Using these 4 basic transformations, a whole series of composite transformations can be made.**

FIN

**A prime example is the knight's actual motion.**

Translation

Reflection

**Many other normal and composite transformations can be found, often in architecture, games, art, and everyday objects such as automobiles.**

This one may be incorrect, because I do not know exactly how many blades there are here.