Translations — Sliding Points (Grades 6–8)
A translation slides a point a fixed distance in a direction, without turning or flipping it. Add the slide to each coordinate: moving (2, 3) right 4 and up 1 gives (2 + 4, 3 + 1) = (6, 4). Moving left or down means subtracting (or adding a negative).
Understanding translations on the coordinate plane
A translation slides a point a fixed distance in a direction, without turning or flipping it. Add the slide to each coordinate: moving (2, 3) right 4 and up 1 gives (2 + 4, 3 + 1) = (6, 4). Moving left or down means subtracting (or adding a negative).
Key Idea
A translation slides a point a fixed distance in a direction, without turning or flipping it. Add the slide to each coordinate: moving (2, 3) right 4 and up 1 gives (2 + 4, 3 + 1) = (6, 4). Moving left or down means subtracting (or adding a negative).
Seeing it in action
Worked example
Translate (2, 3) right 4 and up 1.
x: 2 + 4 = 6. y: 3 + 1 = 4. → (6, 4).
Right 4 and up 1 gives (6, 4).
Try a few
Translate (1, 1) right 3, up 2
Translate (5, 5) left 2, down 1
Translate (0, 0) right 6, up 6
Coordinate Quest
A calm treasure-map game for plotting, reading, and translating points on a coordinate plane.
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Practice translations on the coordinate plane in Numeris with instant feedback.
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