Monday, February 6, 2012

How do we identify transformations?

Question: So what is a transformation? o.O

Answer: Simple, a transformation is when you move a goemetric figure :D

Now there are four types of transformations: Translation, Reflection, Rotation, and Dilation.

A translation is when every point is moved the same distance in the same direction.
Figure 1 Ex. Triangle ABC was translated (or moved) six units to the right and four units down. 
Translations are written with a capital T. Figure 1 for example, would be written as T(6,-4)

A reflection is when a figure is flipped over a line of symmetry.
Figure 2 Ex. The letter E was flipped over a line of reflection. The line of reflection acts like a mirror.
Reflections are written as lower case r's. Ex. r(x-axis)

A rotation is when a figure is turned around a single point.

Figure 3 Ex. Shape A was rotated along the point O.
Rotations are written out using a capital R followed by the degree of the rotation. Ex. R90*

A dilation is when an  image is reduced or enlarged in size.

Figure 4 Ex. This little tiger was enlarged to double its original size.
Dilations are written out with a capital D followed by the amount of enlargement or reduction. Ex. D2


NOW YOU TRY! :D


Figure 5
What type of transformation is Figure 5?
A) Reflection
B)Rotation
C)Dilation
D)Translation

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