translations

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a translation in geometry?
Back
A translation is a transformation that moves every point of a figure the same distance in a specified direction.
2.
FLASHCARD QUESTION
Front
How do you represent a translation algebraically?
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 it mean to translate a shape 5 units right and 2 units down?
Back
It means to move the shape 5 units in the positive x-direction and 2 units in the negative y-direction.
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 0 units horizontally and 5 units vertically?
Back
The shape will move straight up by 5 units without any horizontal movement.
6.
FLASHCARD QUESTION
Front
How do you translate a triangle with vertices A(1, 2), B(3, 4), and C(5, 6) by (x - 2, y + 3)?
Back
The new vertices will be A(-1, 5), B(1, 7), and C(3, 9).
7.
FLASHCARD QUESTION
Front
What is the translation vector for moving a shape 4 units down and 3 units left?
Back
The translation vector is (-3, -4).
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