What is a translation in geometry?
5A: Translations

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A translation is a transformation that moves every point of a shape or object the same distance in a specified direction.
2.
FLASHCARD QUESTION
Front
How do you represent a translation mathematically?
Back
A translation can be represented as (x, y) -> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.
3.
FLASHCARD QUESTION
Front
What does the notation (x + 2, y - 3) indicate?
Back
It indicates a translation 2 units to the right and 3 units down.
4.
FLASHCARD QUESTION
Front
If a shape is translated 5 units to the left, what is the mathematical representation?
Back
The representation is (x, y) -> (x - 5, y).
5.
FLASHCARD QUESTION
Front
What is the effect of translating a shape 4 units up?
Back
The effect is represented as (x, y) -> (x, y + 4).
6.
FLASHCARD QUESTION
Front
How do you determine the new coordinates after a translation?
Back
Add the translation values to the original coordinates. For example, if the original point is (x, y) and translated by (a, b), the new point is (x + a, y + b).
7.
FLASHCARD QUESTION
Front
What does the transformation (x, y) -> (x, y - 6) mean?
Back
It means to translate the shape down 6 units.
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