Question

write the coordinates of the vertices after a translation 8 units right and 3 units up.
d(□,□)
e(□,□)
f(□,□)
g(□,□)

Explanation:

Step1: Find the original coordinates

The original coordinates are \(D(-9, -1)\), \(E(-3, -1)\), \(F(1, 3)\), \(G(-5, 3)\).

Step2: Apply the translation rule

The translation rule is \((x,y)\to(x + 8,y+3)\).
For point \(D\):
\(x=-9+8=-1\), \(y=-1 + 3=2\), so \(D'(-1,2)\)
For point \(E\):
\(x=-3+8 = 5\), \(y=-1+3=2\), so \(E'(5,2)\)
For point \(F\):
\(x=1+8=9\), \(y=3 + 3=6\), so \(F'(9,6)\)
For point \(G\):
\(x=-5+8=3\), \(y=3+3=6\), so \(G'(3,6)\)

Answer:

\(D'(-1,2)\), \(E'(5,2)\), \(F'(9,6)\), \(G'(3,6)\)