Question

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). And then by which translation?
A M: (x, y) → (x – 18, y + 1)
B M: (x, y) → (x + 1, y – 18)
C M: (x, y) → (x + 4, y – 6)
D M: (x, y) → (x – 6, y + 4)

Answer 1

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:

$Q(16,4)\to (0.25\times 16,0.25\times4)=(4,1)$

$R(8,16)\to (0.25\times 8,0.25\times16)=(2,4)$

$S(4,4)\to (0.25\times 4,0.25\times4)=(1,1)$

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.