translation (or slide)
In mathematics, a translation, also known as a slide, refers to moving an object or shape from one location to another without changing its size, shape, or orientation
In mathematics, a translation, also known as a slide, refers to moving an object or shape from one location to another without changing its size, shape, or orientation. This movement is done by shifting the entire object up, down, left, or right.
To perform a translation, you need to specify two things: the direction and the distance of the shift. The direction indicates whether the object will be moved up, down, left, or right, while the distance specifies how far it will be moved.
For example, let’s say we have a triangle located at coordinates (2, 3) on a coordinate plane. If we want to translate this triangle 4 units to the right and 2 units down, we can add 4 to the x-coordinates and subtract 2 from the y-coordinates:
Triangle: (2, 3)
Translation: +4 right, -2 down
New triangle coordinates:
(2 + 4, 3 – 2) = (6, 1)
Hence, the translated triangle will now be located at coordinates (6, 1), maintaining its shape and orientation.
Translations are important in mathematics as they help us understand the concept of shifting objects without changing their properties, which is fundamental in geometry, graphing, and various other mathematical fields.
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