Wednesday 12 September 2012

Transformation


Transformations 




3 elemen penting dalam tajuk ini adalah

1. Translation 



2. Reflection






3. Rotation




di bawah ni adalah penerangan yang lebih lanjut tntg tajuk ini....

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Translation

In Geometry, "Translation" simply means Moving ...
... without rotating, resizing or anything else, just moving.

To Translate a shape:
Every point of the shape must move:
  • the same distance
  • in the same direction.
To see how this works, try translating different shapes here:



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Reflection

Reflections are everywhere ... in mirrors, glass, and here in a lake. 
... what do you notice ?
Reflection in LakeReflection Illustrated
Every point is the same distance from the central line !
... and ...
The reflection has the same size as the original image
The central line is called the Mirror Line ...

Can A Mirror Line Be Vertical?

Yes.
Here my dog "Flame" shows a
Vertical Mirror Line (with a bit of photo magic)
In fact Mirror Lines can be in any direction.
Imagine turning the photo at the top in different directions ...
... the reflected image is always the same size, it just faces the other way:
Left-Right Reflection75 Degrees Reflection

A reflection is a flip over a line

You can try reflecting some shapes about
different mirror lines here:

View Larger

How Do I Do It Myself?

Just approach it step-by-step. For each corner of the shape:
1. Measure from the point to the mirror line (must hit the mirror line at a right angle)2. Measure the same distance again on the other side and place a dot.3. Then connect the new dots up!
Step 1Step 2Final Reflect


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Rotation

"Rotation" means turning around a center:

The distance from the center to any point on the shape stays the same.
Every point makes a circle around the center.


Here a triangle is rotated around
the point marked with a "+"

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