Question

1. complete the rule for the translation of △cde to △cde. rule: (x, y) → (x + 2, y + 1)

Explanation:

Step1: Observe x - coordinate change

To find the change in the x - coordinate, compare the x - coordinates of corresponding points. For example, if we take a point on △CDE and its corresponding point on △C'D'E'. Let's assume a vertex C(x1,y1) and C'(x2,y2). By looking at the grid, we see that for all corresponding points, the x - coordinate of the new point is 2 more than the x - coordinate of the original point. So the change in x is + 2.

Step2: Observe y - coordinate change

To find the change in the y - coordinate, compare the y - coordinates of corresponding points. For all corresponding points, the y - coordinate of the new point is 4 more than the y - coordinate of the original point. So the change in y is + 4.

Answer:

$(x,y)\to(x + 2,y+4)$