Aparallelogram has coordinates a(1, 1), b(5, 4), c(7, 1), and d(3, -2). what are the coordinates of parallelogram a′b′c′d′ after a 180° rotation about the origin and a translation 5 units to the right and 1 unit down?

Step-by-step explanation:

The given parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2).

The rotation of about the origin  has the mapping;

This implies that;

A translation of  5 units to the right and 1 unit down has the mapping;

We apply this to the resulting coordinates to obtain;

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step-by-step explanation: