Please help me i cant figure this out :(

Option (D)

Step-by-step 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.

it has to be a.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6