Question

On a coordinate plane, a triangle has points A prime (1, 2), B prime (3, negative 3), C prime (negative 1, negative 3).
Triangle ABC was translated according to the rule
T4.5, –6.2(x, y) to form A’B’C’ as shown. What are the coordinates of point C of the pre-image?

(3.5, –9.2)
(–2.7, –4.7)
(–5.5, 3.2)
(0.7, –1.3)

Answer 1

Translation adds (4.5, −6.2) to each pre-image point to get the image. So the pre-image C = C' − (4.5, −6.2) = (−1 − 4.5, −3 + 6.2) = (−5.5, 3.2).

Answer: (−5.5, 3.2)