What is a translation in the coordinate plane?
Translations & Reflections on the Coordinate Plane

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A translation is a transformation that slides a figure a certain distance in a specified direction without changing its shape or orientation.
2.
FLASHCARD QUESTION
Front
How do you represent a translation mathematically?
Back
A translation can be represented by the rule (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 reflect a figure over the x-axis?
Back
Reflecting a figure over the x-axis means that for every point (x, y) in the figure, the corresponding point after reflection will be (x, -y).
4.
FLASHCARD QUESTION
Front
What does it mean to reflect a figure over the y-axis?
Back
Reflecting a figure over the y-axis means that for every point (x, y) in the figure, the corresponding point after reflection will be (-x, y).
5.
FLASHCARD QUESTION
Front
What is the effect of a reflection on the coordinates of a point?
Back
A reflection changes the sign of the coordinate that is perpendicular to the axis of reflection while keeping the other coordinate the same.
6.
FLASHCARD QUESTION
Front
What transformation is represented by the rule (x, y) → (x + 2, y - 3)?
Back
This transformation is a translation that slides the figure 2 units to the right and 3 units down.
7.
FLASHCARD QUESTION
Front
What is the difference between a translation and a reflection?
Back
A translation moves a figure without changing its orientation, while a reflection flips a figure over a line, changing its orientation.
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