Question

△mug has coordinates m(10, -4), u(9,8), and g(8,0). a translation maps point m to m(4, -2). what are the coordinates of u and g for this translation?
u (type an ordered pair.)

Explanation:

Step1: Find translation vector

Let translation vector be $(a, b)$. For $M(10, -4) \to M'(4, -2)$:
$10 + a = 4 \Rightarrow a = -6$
$-4 + b = -2 \Rightarrow b = 2$
Translation: $(a, b) = (-6, 2)$

Step2: Translate U

$U(9, 8) + (-6, 2) = (9-6, 8+2) = (3, 10)$

Step3: Translate G

$G(8, 0) + (-6, 2) = (8-6, 0+2) = (2, 2)$

Answer:

U'(3, 10), G'(2, 2)