Question

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′? answer: 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)

Answer 1

Answer:a

Explanation:

Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4)

Answer 2

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

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

`Q = (-2,2)\\R = (2,2)\\S = (2,-2)\\T = (-2,-2)`

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)