The correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.
The given two figures are formed by the transformation.
The initial figure has the base at (-4,1) and (-3,1) which is shifted to (1,-1) and (2,-1), respectvely.
So, the transformation of x coordinate is,
[tex]1-(-4)=5\rm\;units[/tex]
And transfrmation of y coordinate is,
[tex]-1-1=-2\rm\;units[/tex]
The figure is not rotated at any angle as they both are identical in orientation.
From the above discussion, it can be concluded that the figure is translated by 5 units towards the right (as it is positive), and by 2 units down (as it is negative).
Therefore, the correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.
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