(02.01 hc) quadrilateral abcd is located at a(−2, 2), b(−2, 4), c(2, 4), and d(2, 2). the quadrilateral is then transformed using the rule (x − 3, y + 4) to form the image a'b'c'd'. what are the new coordinates of a', b', c', and d'? describe what characteristics you would find if the corresponding vertices were connected with line segments. (10 points)

The given coordinates for quad ABCD are
A(-2,2), B(-2,4), C(2,4) and D(2,2).

The transformation (x-3, y+4) creates the following coordinates for the transformed quad.
A'(-5, 6), B'(-5, 8), C'(-1, 8) and D'(-1, 6).

The diagram that is shown below displays both quadrilaterals.
It indicates that
(a) both quadrilaterals are rectangles, and
(b) the transformation is a translation that preserves the shapes of the rectangles.