What is the definition of a translation in geometry?
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Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A translation is a geometric transformation that moves every point of a figure the same distance in a specified direction.
2.
FLASHCARD QUESTION
Front
What does it mean for translations to be congruent?
Back
Translations are congruent because they preserve the shape and size of the figure being moved.
3.
FLASHCARD QUESTION
Front
How can you express a translation rule mathematically?
Back
A translation rule can be expressed as (x, y) → (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.
4.
FLASHCARD QUESTION
Front
If a point (x, y) is translated to (x, y + 4), what direction and distance is the point moved?
Back
The point is moved up 4 units.
5.
FLASHCARD QUESTION
Front
When translating a figure to the right, what happens to the x-coordinate?
Back
The x-coordinate increases by a certain value.
6.
FLASHCARD QUESTION
Front
What is the effect of translating a figure downwards on its y-coordinate?
Back
The y-coordinate decreases by a certain value.
7.
FLASHCARD QUESTION
Front
What is the translation rule for moving a point 2 units to the right and 1 unit down?
Back
The translation rule is (x, y) → (x + 2, y - 1).
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