PLAT has vertices P(-1,1), L(0.2), A(1,2), T(0,1). P'L'A'T' is the image of PLAT for the translation (x,y) → (x+3, y-2), Show

Question

PLAT has vertices P(-1,1), L(0.2), A(1,2), T(0,1). P'L'A'T' is the image of PLAT for the translation (x,y) → (x+3, y-2), Show that PP', LI', AA', and TT' are all parallel.
Two segments are parallel if are Find the coordinates of the images of the vertices by each x-coordinate andy-coordinate and each

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