Question

quadrilateral tuvw is transformed, creating quadrilateral tuvw. which rule describes the transformation applied to quadrilateral tuvw to create quadrilateral tuvw? a (x,y)→(x + 6,y + 2) b (x,y)→(x - 6,y + 2) c (x,y)→(x + 6,y - 2) d (x,y)→(x - 6,y - 2)

Explanation:

Step1: Observe horizontal shift

Count the grid - squares between corresponding points horizontally. We can see that each point of quadrilateral TUVW moves 6 units to the right. In coordinate - notation, moving a point (x, y) to the right by 6 units means changing the x - coordinate as x→x + 6.

Step2: Observe vertical shift

Count the grid - squares between corresponding points vertically. Each point of quadrilateral TUVW moves 2 units down. In coordinate - notation, moving a point (x, y) down by 2 units means changing the y - coordinate as y→y−2.

Step3: Determine transformation rule

The transformation rule for moving a point (x, y) of quadrilateral TUVW to a point (x', y') of quadrilateral T'U'V'W' is (x,y)→(x + 6,y−2).

Answer:

C. (x,y)→(x + 6,y−2)