Question

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).
Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?

(x, y) → (x + 7, y + 6)
(x, y) → (x + 7, y – 6)
(x, y) → (x – 6, y + 7)
(x, y) → (x + 6, y + 7)

Answer 1

(x, y) → (x + 7, y − 6)

Reason: A(−3,4) → (−3+7, 4−6) = (4,−2) = A'. Applying (x+7, y−6) to B and C gives (5,−5) and (3,−5), which match the remaining image vertices (B' and C' up to labeling).