Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q′R′S′T′? A) Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4) B) Q′ (4, 4), R′ (–4, 4), S′ (–4, –4), T′ (4, –4) C) Q′ (–1, 1), R′ (1, 1), S′ (1, –1), T′ (–1, –1) D) Q′ (–3, 3), R′ (3, 3), S′ (3, –3), T′ (–3, –3)

Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)

Step-by-step explanation:

Given

Quadrilateral QRST

Dilated Factor  = 2

Required

Find the coordinates of Q'R'S'T'

To do this, we first have to identify the coordinates of QRST

Being dilated by scale factor of 2 means we have to multiply each coordinates by 2; This is as shown below

Q'R'S'T' = 2 * QRST

Q' = 2 * (-2,2)

Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)

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

answer: 88

step-by-step explanation: