Question

On a coordinate plane, a triangle has points A (negative 2, negative 2), B (1, negative 5), and C (negative 5, negative 5).
If a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?

(1, –5)
(–4, –10)
(–3, –12)
(3, –12)

Answer 1

A translation by (2, −7) adds 2 to x and −7 to y.
B(1, −5) → B'(1+2, −5−7) = (3, −12).

Answer: (3, −12).