Answer:
Option (D)
Explanation:
Polygon Q(16, 4), R(8, 16), S(4, 4) mapped to polygon T(-2, 5), U(-4, 8), V(-5, 5).
Polygon QRS was dilated initially by using the rule,
(x, y) → (0.25x, 0.25y)
Therefore, coordinates of QRS will be,
Q(16, 4) → Q'(4, 1)
R(8, 16) → R'(2, 4)
S(4, 4) → S'(1, 1)
Followed up by the translation,
(x, y) → (x + a, y + b)
By applying this rule,
Q'(4, 1) → T(-2, 5)
Q'(4, 1) → T(4 - 6, 1 + 4)
Rule applied in the translation of this point is,
Q'(x, y) → T[(x-6), (y+4)]
Therefore, Option (D) will be the answer.