Rectangle ABCD is the image of rectangle ABCD after which of the following translations?

4 units in the negative x direction and 5 units in the negative y direction

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5 units in the negative x direction and 4 units in the negative y direction

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4 units in the positive x direction and 5 units in the positive y direction

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5 units in the positive x direction and 4 units in the positive y direction

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Solution

The correct option is B 4 units in the negative x direction and 5 units in the negative y direction
The point A has moved 4 units in the negative x direction and 5 units in the negative y direction.
Similarly for each of the other points.
This is denoted by translation vector $\displaystyle \left( $\begin{matrix} - 4 - 5 \end{matrix}$ \right) $

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