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Translate coordinates.

Translate a point by an ordered pair of horizontal and vertical displacements.

Numihana · England Year 6

Translate coordinates

Practice sheet

Name: ______________
Date: ______________

Translate a point by an ordered pair of horizontal and vertical displacements.

1

Translate (3, 4) by (-3, 0). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: ________, ________
2

Translate (4, 4) by (0, 0). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: ________, ________
3

Translate (4, 0) by (4, 3). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: ________, ________
4

Translate (1, 1) by (-2, 1). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: ________, ________
5

Translate (-2, 1) by (0, 1). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: ________, ________
6

Translate (-2, 0) by (0, 4). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: ________, ________
Numihana · England Year 6 · Translate coordinates
Numihana · England Year 6

Translate coordinates

Answer key

Name: ______________
Date: ______________

Translate a point by an ordered pair of horizontal and vertical displacements.

1

Translate (3, 4) by (-3, 0). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: 0, 4
2

Translate (4, 4) by (0, 0). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: 4, 4
3

Translate (4, 0) by (4, 3). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: 8, 3
4

Translate (1, 1) by (-2, 1). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: -1, 2
5

Translate (-2, 1) by (0, 1). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: -2, 2
6

Translate (-2, 0) by (0, 4). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: -2, 4
Numihana · England Year 6 · Translate coordinates

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The skill behind this activity

Translate a point by an ordered pair of horizontal and vertical displacements.

Department for Education: mathematics programmes of study ↗

Year 6 → Geometry → Position and direction · Selected statutory skill. Pack 2.2.0 · source checked 2026-10-12.

For teachers and parents

Add the horizontal displacement to the x coordinate and the vertical displacement to the y coordinate. Translate every vertex using the same displacement.

A common slip

Read x before y; a negative displacement moves left or down rather than right or up.

Curriculum coverage

Worked example

Translate (-5, -3) by (-2, -4). Enter the new coordinates.

-5-5-4-4-3-3-2-2-1-101122334455xy
Answer: -7, -7

Add the horizontal displacement to the x coordinate and the vertical displacement to the y coordinate. Translate every vertex using the same displacement.