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
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).
To find the translation rule, we need to determine the amount and direction of the translation from point R to its image.
First, let's find the horizontal translation distance by subtracting the x-coordinate of point R from the x-coordinate of its image:
Horizontal translation distance = 1 - (-5) = 1 + 5 = 6
Next, let's find the vertical translation distance by subtracting the y-coordinate of point R from the y-coordinate of its image:
Vertical translation distance = -11 - (-5) = -11 + 5 = -6
Therefore, the translation rule is (x, y) → (x + 6, y - 6).
To find the image of point U, we apply the translation rule to its coordinates:
x-coordinate of U's image = -5 + 6 = 1
y-coordinate of U's image = 1 - 6 = -5
So, the image of point U is (1, -5).
Please note that the provided information of "U.S. Bank" is not relevant to the given problem of finding the translation rule and the image of point U.