Transformations & Symmetry

A detailed Summary of Transformations & Symmetry


What is transformation? Transformation is a one-to-one function from one plane on to

another plane or to a different area on the same plane. A transformation describes a change in

appearance of points in a plane. It is a transfer from the pre-image to the image. There are

many types of transformations that I will be describing.

The first type of transformation is known as a reflection. A reflection maps each point

from one plane and creates it on another plane in the same manner and order. One of the main

characteristics of reflection is reverse orientation. This means that whatever order the points

were in, they transformed to be the opposite. This concept is the same as when you look into a

mirror, all the points are reversed.

Another type of transformation is known as translation. A translation is a transformation

formed by the composition of two reflections in which the lines of the reflection are parallel.

According to my understanding of this concept, in order to have the lines parallel, the figures

must be placed side by side. In this type of transformation the orientation of the figure is

changed but then changed back. The first reflection reverses the ori


rotational symmetry but only of 180 degrees. This means that an object or figure can be rotated

of one figure you are then, performing a composition of transformations.

There is a certain form of a reflection that is known as symmetry. A figure has line

This expansion or contraction is depicted by a ratio or also known as a scale factor. The



Some common words found in the essay are:
, type transformation, rotational symmetry, formed composition reflections, composition reflections lines, transformation isometric transformation, line symmetry half, line symmetry, figures shape size, scale factor, similar figures, reflection reverses, composition reflections, transformation isometric, isometric transformation, symmetry half,

Approximate Word count = 838
Approximate Pages = 3 (250 words per page double spaced)

Category: Science

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