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Geometrical Transformation

Raj Kumar
27/12/2017 0 0

Transformation is basically the "change of form"

Etymology Trans = across, bayond  + formare = to form

TransformationThese transformations fall into two categories:

i. Rigid transformations that do not change the shape or size of the pre-image

ii. Non-rigid transformations that change the size but not the shape of the pre-image.

 

Basically four type of transformation:

1) Translation (Shifting/Sliding in linear direction) or Horizontal or vertical movement either upward or downward 

 

2) Rotation:

i. A rotation is atransformation in which the object is rotated about a fixed point.

ii. Turn Around either in Clockwise or in anticlockwise/Counterclockwise direction

Reflection can be:

a. Around X axis

b. Around Y Axis

c. Around line Y=X or Y=-X

d. Around the Origin

 

3) Reflection:

i. Mirror Image of anything

ii. It is basically a 'flip' of a shape over the line of reflection

 

4) Dilation:

i. Dilation that creates a smaller image is called a reduction.

ii. A dilation stretches or shrinks the original figure.

iii. A description of a dilation includes the scale factor (or ratio) and the center of the dilation.

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