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Math
A |
Translations
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A
translation "slides" an object
a fixed distance in a given direction. The original object and its translation have the
same shape and size, and they face
in the same direction.
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Translations
are SLIDES!!! |
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For an
intuitive lesson on translations, see
Intuitive
Notion of Line Translations.
Let's examine some
translations
related to coordinate geometry.
In the example below,
notice how each vertex moves the same distance
in the same direction.
In
this next example, the "slide" moves the figure
7 units to the left and 3 units down.
There are several ways that mathematicians indicate that a translation
such as this is to occur.
| 1. |
description: |
7 units to the left and 3 units down. |
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2. |
mapping: |
(This
is read: "the x and y coordinates will become x-7 and
y-3".
Notice that movement left and down is negative, while movement
right and up is positive - just as it is on coordinate axes.) |
| 3. |
symbol: |
(The
-7 tells you to subtract 7 from all of your x-coordinates, while
the -3 tells you to subtract 3 from all of your y-coordinates.)
This may also be seen as
T-7,-3(x,y)
= (x-7,y-3). |
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