Question

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)
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).

Answer 1

(x, y) → (x + 7, y − 6)

Check: A(−3,4) → A'(4,−2) by adding (7,−6). Also B(−2,1)+(7,−6)=(5,−5)=C' and C(−4,1)+(7,−6)=(3,−5)=B', so the translation vector is (7,−6).