Question

a and d are points on a polygon. a d are points of the polygon under a translation. determine the translation. write your answer as (x,y). a(-6,2), a(-1,8) d(-9,5), d(-4,11)

Explanation:

Step1: Calculate x - translation

Find the difference in x - coordinates of point A and its image $A'$. Let the translation be $(x,y)$. For point A with coordinates $(-6,2)$ and $A'$ with coordinates $(-1,8)$, the change in x - coordinate is $x=-1-(-6)=5$.

Step2: Calculate y - translation

Find the difference in y - coordinates of point A and its image $A'$. The change in y - coordinate is $y = 8 - 2=6$. We can double - check with point D. For point D with coordinates $(-9,5)$ and $D'$ with coordinates $(-4,11)$, the change in x - coordinate is $-4-(-9)=5$ and the change in y - coordinate is $11 - 5=6$.

Answer:

$(5,6)$