Question

1. complete the rule for the translation of acdef to cdef. rule: (x, y) → (x, y)

Explanation:

Step1: Observe x - coordinate change

Pick a point, say point C. Original C has x - value, and new C' has a different x - value. Count the number of units moved horizontally. C moves 5 units to the right. In translation, for the x - coordinate of a point (x,y), the change is x→x + 5.

Step2: Observe y - coordinate change

The y - value of each point in the original figure and its corresponding point in the new figure remains the same. So for the y - coordinate of a point (x,y), the change is y→y.

Answer:

$(x,y)\to(x + 5,y)$