AQA · Mathematics · 8300
GCSE Maths: Translations: describing
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Translations: describing (Corbettmaths Video 326), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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A translation vector is written in the form ? where x represents horizontal movement and y represents vertical movement.
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(x, y)
In a translation vector (0, 7), which direction does the shape move?
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Up (or upward). The positive y-component means vertical movement upward.
In a translation vector (4, 0), which direction does the shape move?
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Right (or to the right). The positive x-component means horizontal movement to the right.
If translation vector (a, b) maps shape A to shape B, what vector maps shape B back to shape A?
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(-a, -b). The reverse translation uses the opposite (negative) of each component.
How do you find the translation vector that maps point (x₁, y₁) to point (x₂, y₂)?
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(x₂ - x₁, y₂ - y₁). Subtract the original coordinates from the final coordinates.
If vector v₁ maps A to B and vector v₂ maps A to C, how do you find the vector that maps B to C?
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v₂ - v₁. Subtract the first translation vector from the second.
What does a negative x-component in a translation vector indicate?
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Movement to the left (or in the negative horizontal direction).
What does a negative y-component in a translation vector indicate?
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Movement downward (or in the negative vertical direction).
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