Question

Write a rule in both coordinate notation in vector notation to represent the translation of a parallelogram to the right

Answer 1

The rule in vector notation for the translation to the right is described by the following formula:

$V'(x,y) = V(x,y) + (9, -4)$

Vectorially speaking, a translation is described by the following expression:

$V'(x,y) = V(x,y) + T(x,y)$ (1)

Where:

• $V(x,y)$ - Original point.
• $V' (x,y)$ - Translated point.
• $T(x,y)$ - Translation vector.

By direct inspection we see that parallelogram C'D'E'F' translated to the right is moved 9 in +x direction and 4 in -y direction. Hence, the translation vector is equal to:

$T(x,y) = (9, -4)$

And the rule in vector notation for the translation to the right is described by the following formula:

$V'(x,y) = V(x,y) + (9, -4)$

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