Translations (Leaving Cert Mathematics): Flashcards

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Translations
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What is a translation?

Movement in a straight line

Two types of shift in translation

Horizontal (right/left) and vertical (up/down)

What mathematical notation describes a translation?

A vector

Vector notation format for translation

(xy)\begin{pmatrix} x \\ y \end{pmatrix}

Top number in translation vector

Horizontal movement (right/left)

Bottom number in translation vector

Vertical movement (up/down)

Positive top value in vector means

Move right

Negative bottom value in vector means

Move down

Positive bottom value in vector means

Move up

(85)\begin{pmatrix} 8 \\ 5 \end{pmatrix} as translation

8 units right, 5 units up

(5−5)\begin{pmatrix} 5 \\ -5 \end{pmatrix} as translation

5 units right, 5 units down

What happens to points during translation?

Each point moves by the vector

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