Answer:
D M: (x, y) → (x – 6, y + 4)
Step-by-step explanation:
Polygon Q(16, 4), R(8, 16), S(4, 4) was mapped to polygon T(–2, 5), U(–4, 8), V(–5, 5). First by the dilation: (x, y) → (0.25x, 0.25y).
This means that:
[tex]Q(16,4)\to (0.25\times 16,0.25\times4)=(4,1)[/tex]
[tex]R(8,16)\to (0.25\times 8,0.25\times16)=(2,4)[/tex]
[tex]S(4,4)\to (0.25\times 4,0.25\times4)=(1,1)[/tex]
Now we want to find the translation rule that takes
(4,1) to (-2,5)
(2,4) to (-4,8)
(1,1) to (-5,5)
In each case, 6 is subtracted from the first coordinates and 4 added to the second coordinates.
Therefore, the translation rule is:
(x-6,y+4)
Option D is correct.
