The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (1, -11). Find the translation rule and the image of U.s. bank

Answer 1

To find the translation rule, we need to determine the vector that maps R to (1, -11):

<x, y> = <1 - (-5), -11 - (-5)>
= <6, -6>

So the translation rule is:

(x, y) → (x + 6, y - 6)

To find the image of U, we apply the translation rule:

(x, y) = (-5, 1)
(x + 6, y - 6) = (-5 + 6, 1 - 6)
= (1, -5)

Therefore, the image of U is (1, -5).