What is a translation in geometry?
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Mathematics
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8th Grade
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1.
FLASHCARD QUESTION
Front
Back
A translation is a type of transformation that moves every point of a shape the same distance in a specified direction.
2.
FLASHCARD QUESTION
Front
How do you describe a translation mathematically?
Back
A translation can be described using a vector, such as (x+a, y+b), where 'a' is the horizontal shift and 'b' is the vertical shift.
3.
FLASHCARD QUESTION
Front
What does it mean to translate a shape 5 units right and 2 units down?
Back
It means to move the shape 5 units to the right on the x-axis and 2 units down on the y-axis.
4.
FLASHCARD QUESTION
Front
If a point (3, 4) is translated 2 units left and 3 units up, what are the new coordinates?
Back
The new coordinates are (1, 7).
5.
FLASHCARD QUESTION
Front
What is the effect of translating a shape on its size and orientation?
Back
Translation does not change the size or orientation of the shape; it only changes its position.
6.
FLASHCARD QUESTION
Front
How can you represent the translation of a triangle with vertices A(1,2), B(3,4), and C(5,6) by the vector (2, -3)?
Back
The new vertices will be A'(3,-1), B'(5,1), and C'(7,3).
7.
FLASHCARD QUESTION
Front
What is the difference between translation and reflection?
Back
Translation moves a shape without changing its orientation, while reflection flips a shape over a line, changing its orientation.
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