Question

Randy draws triangle ABC on the coordinate plane with vertices A(7, –4), B(10, 3), and C(6, 1). He then translates the figure so the coordinates of the image are A′(5, 1), B′(8, 8), and C′(4, 6). What rule did he use to draw the image?

T–5, 2(x, y)
T–2, 5(x, y)
T2, –5(x, y)
T5, –2(x, y)

Answer 1

Translation by (-2, 5). Each vertex moves 2 left and 5 up: (x, y) -> (x - 2, y + 5). So the rule is T–2, 5(x, y).