Question

rectangle abcd has vertices a(-6, -2), b(-3, -2), c(-3, -6), and d(-6, -6). the rectangle is translated so that the coordinates of the image are a(-10, 1), b(-7,1), c(-7, -3), and d(-10, -3). which rule was used to translate the image? \\( t_{-4, 3}(x, y) \\) \\( t_{-4, 1}(x, y) \\) \\( t_{4, -1}(x, y) \\) \\( t_{4, -3}(x, y) \\)

Explanation:

Step1: Find x-translation value

Take vertex A: $x' - x = -10 - (-6) = -4$

Step2: Find y-translation value

Take vertex A: $y' - y = 1 - (-2) = 3$

Step3: Match to translation rule

The translation rule is $T_{-4, 3}(x,y)$

Answer:

$T_{-4, 3}(x, y)$