Unit 4.1 Translations
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•
Mathematics
•
10th 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 describe a translation mathematically?
Back
A translation can be described using a rule in the form (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.
3.
FLASHCARD QUESTION
Front
What does the term 'pre-image' refer to in transformations?
Back
The pre-image is the original figure before any transformation is applied.
4.
FLASHCARD QUESTION
Front
If a point A is translated 3 units to the right and 4 units down, what is the new position of point A if its original coordinates are (2, 5)?
Back
The new position of point A would be (5, 1).
5.
FLASHCARD QUESTION
Front
What is the effect of translating a figure 0 units horizontally and 0 units vertically?
Back
The figure remains unchanged; it is effectively the same as not performing any translation.
6.
FLASHCARD QUESTION
Front
How do you find the coordinates of a translated point?
Back
To find the coordinates of a translated point, apply the translation rule to the original coordinates.
7.
FLASHCARD QUESTION
Front
What is the result of translating a triangle with vertices A(1, 2), B(3, 4), and C(5, 6) by the rule (x + 2, y - 3)?
Back
The new vertices will be A'(3, -1), B'(5, 1), and C'(7, 3).
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