Question

write the coordinates of the vertices after a translation 2 units right and 8 units up.

Explanation:

Step1: Find original coordinates

The original coordinates are \(C(-6,-5)\), \(D(-6,-3)\), \(E(-4,-3)\), \(F(-4,-5)\).

Step2: Apply translation rule

The translation rule for 2 units right (\(x + 2\)) and 8 units up (\(y+8\)).
For point \(C\): \(x=-6 + 2=-4\), \(y=-5 + 8 = 3\), so \(C'(-4,3)\).
For point \(D\): \(x=-6+2=-4\), \(y=-3 + 8=5\), so \(D'(-4,5)\).
For point \(E\): \(x=-4+2=-2\), \(y=-3 + 8=5\), so \(E'(-2,5)\).
For point \(F\): \(x=-4+2=-2\), \(y=-5 + 8=3\), so \(F'(-2,3)\).

Answer:

\(C'(-4,3)\), \(D'(-4,5)\), \(E'(-2,5)\), \(F'(-2,3)\)