After rectangle WXYZ is translated 4 units to the left, what are the coordinates of X’?
A (-2, 2)
B (0, -3)
C (0, 2)
D (8, 2)
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To find the new coordinates of point X after rectangle WXYZ is translated 4 units to the left, you need to subtract 4 from the x-coordinate of point X.
If point X is at (x, y), its new coordinates (X’) will be:
X’ = (x – 4, y)
Now, let’s go through the options to find the correct original coordinate of X:
– A (-2, 2): Translates to (-2 – 4, 2) = (-6, 2)
– B (0, -3): Translates to (0 – 4, -3) = (-4, -3)
– C (0, 2): Translates to (0 – 4, 2) = (-4, 2)
– D (8, 2): Translates to (8 – 4, 2) = (4, 2)
As we can see, none of the new coordinates exactly match the X’ after the translation, but to find which coordinate is related to the translation, we look at their original positions.
If we assume point X is at (0, 2) (option C), after the translation, it becomes (-4, 2). Therefore, if the question assumes moving left leads to a defined option, it seems none of the provided options match.
However, to give a straight response: from the available options, translating point (0, 2) fits