Question

Quadrilateral WXYZ is located at W(2,1), X(5,2), Y(4,4), Z(2,4). A translation of the quadrilateral is located at W’(5, 5), X’(8, 6), Y’(7, 8), Z’(5, 8). How is the quadrilateral translated?
A. Quadrilateral WXYZ is translated 3 units to the right and 4 units up.
B. Quadrilateral WXYZ is translated 4 units to the right and 3 units up.
C. Quadrilateral WXYZ is translated 3 units to the left and 3 units down.
D. Quadrilateral WXYZ is translated 4 units to the left and 3 units down.

Answer 1

@nubeer

Answer 2

A

Answer 3

Just compare one point on the original WXYZ with the corresponding point on the translated shape.

So if you pick W on the original shape, pick W' on the new shape.

W original is (2,1)
W' is (5,5)

The x coordinate is 3 more, and the y coordinate is 4 more.

To double check, see if the "3 more for x, 4 more for y" works for other pairs of points like X and X', Y and Y', and Z and Z'.