A sequence of transformation that maps DEF to D'E'F' is a rotation by 180 degrees followed by a translation by 1 unit left
How to determine the transformation?
From the figure, the coordinates of the triangles are:
D = (-2, -1), E = (-2, -4) and F = (-1, -1)
D' = (1, 1), E' = (1, 4) and F = (0, 1)
The first transformation is a rotation by 180 degrees.
This is represented as:
(x, y) = (-x, -y)
So, we have:
D = (2, 1), E = (2, 4) and F = (1, 1)
The next transformation is a translation 1 unit left
This is represented as:
(x, y) = (x - 1, y)
So, we have:
D' = (1, 1), E' = (1, 4) and F = (0, 1)
Hence, a sequence of transformation that maps DEF to D'E'F' is a rotation by 180 degrees followed by a translation by 1 unit left
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