Question

The coordinates of the preimage of polygon ABCD and the image ofA'B'C'D' are given below. What rule describes the transformation?A(4,3) B(4,0) C(-1, 1) D(-1, 4)A'(1, 1) B'(1, -2) C'(-4,-1) D'(-4, 2)T-3,-2). T-3,2T-2,-3)T 3,2

Answer 1

The coordinates of polygon ABCD are:

A(4,3) B(4,0) C(-1, 1) D(-1, 4)

and

The coordinates of the transformed polygon A'B'C'D' are:

A'(1, 1) B'(1, -2) C'(-4,-1) D'(-4, 2)

To understand the transformed rule, just remove the coordinates of the actual polygon from the transformed polygon.

A' - A = (1, 1) - (4, 3) = (1 - 4, 1 - 3) = (-3, -2)

Similarly,

B' - B = (1, -2) - (4, 0) = (1 - 4, -2 - 0) = (-3, 2)

The same result will be obtained from other points (C and D). Therefore, the first option (-3, 2) is correct.