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A parallelogram WXYZ is translated, where W(4, 2) became W'(-2, -5). Which of the following describes the translation?6 units right and 7 units up6 units left and 7 units down2 units right and 3 units down9 units left and 4 units downnone of the above

Question

A parallelogram WXYZ is translated, where W(4, 2) became W'(-2, -5). Which of the following describes the translation?6 units right and 7 units up6 units left and 7 units down2 units right and 3 units down9 units left and 4 units downnone of the above

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Solution

To find the translation, we need to determine how much the x-coordinate and the y-coordinate have changed from W to W'.

The x-coordinate has changed from 4 to -2. This is a change of -2 - 4 = -6 units. Since the change is negative, this is a translation to the left.

The y-coordinate has changed from 2 to -5. This is a change of -5 - 2 = -7 units. Since the change is negative, this is a translation down.

So, the translation is 6 units to the left and 7 units down. Therefore, the correct answer is "6 units left and 7 units down".

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