rectangle abcd has vertices a(-6, -2), b(-3, -2), c(-3, -6), and d(-6, -6). the rectangle is translated so…

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).\nwhich rule was used to translate the image?\n○ $t_{-4, 3}(x, y)$\n○ $t_{-4, 1}(x, y)$\n○ $t_{4, -1}(x, y)$\n○ $t_{4, -3}(x, y)$

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).\nwhich rule was used to translate the image?\n○ $t_{-4, 3}(x, y)$\n○ $t_{-4, 1}(x, y)$\n○ $t_{4, -1}(x, y)$\n○ $t_{4, -3}(x, y)$

Answer

Explanation:

Step1: Find x-translation (A to A')

$\Delta x = x_{A'} - x_A = -10 - (-6) = -4$

Step2: Find y-translation (A to A')

$\Delta y = y_{A'} - y_A = 1 - (-2) = 3$

Step3: Match to translation rule

Translation rule is $T_{\Delta x, \Delta y}(x,y)$

Answer:

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