Question

The coordinates of ADEF are D(-1, 4), E (7,-3), and F (9,5). Write a rule for the translation of ADEF to ADEF. so that the centroid of AD'EF' is

(9,6).
(x,y) -- (x+__y+__) HELP PLEASE

Answer 1

(x,y) -->(x+4,y+4)

Step-by-step explanation:

The triangle DEF is plotted and shown below:

We can also use the calculation method to find the centroid as done below:

`\begin{gathered} (x,y)=((-1+7+9)/(3),(4-3+5)/(3)) \\ =((15)/(3),(6)/(3)) \\ =(5,2) \end{gathered}`

The centroid of △DEF = (5,2)

If the centroid of △D'E'F' is (9,6)

Then, the translation rule is derived below:

`\begin{gathered} (5+a,2+b)=(9,6) \\ a=4,b=4 \\ \implies(x,y)\to(x+4,y+4) \end{gathered}`