D. △JKL is congruent to △MNP because △JKL can be mapped to △MNP by a rotation of 180° about the origin followed by a translation 2 units up.
Rotation of triangle JKL by [tex]180^{o}[/tex] will result in the triangle with corresponding vertices of (2, 4), (3, 2) and (-1, 2).
so translating the resulting triangle two units up will result in the triangle with corresponding vertices (4, -2), (2, -3) and (2, 1) which is the same triangle like the given triangle MNP.
Which best explains why the figures are congruent?
The figures is congruent because the 270° rotation about the origin or then the reflection over the x-axis would mapped ΔABC into ΔLMN.
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