the vertices of a rectangle are R(-2,2), S(2,2), T(2,-4) and U (-2,-4). After translation R' is (-8,-8). Find the transition rule and the coordinates of U'.

Answer 1

To find the transition rule, we can use the coordinates of R and R' to determine the horizontal and vertical shifts.

The horizontal shift is -8 - (-2) = -6, and the vertical shift is -8 - 2 = -10. Therefore, the transition rule is (x, y) → (x - 6, y - 10).

To find the coordinates of U', we can apply the transition rule to U(-2, -4):

U'(-2 - 6, -4 - 10) = U'(-8, -14)

Therefore, the coordinates of U' are (-8, -14).