Question

graph the image of rectangle cdef after a translation 2 units right and 10 units down.

Explanation:

Step1: Find the coordinates of original points

Assume the coordinates of \(C(-8,4)\), \(D(-2,4)\), \(E(-2,9)\), \(F(-8,9)\)

Step2: Apply the translation rule

The translation rule is \((x,y)\to(x + 2,y-10)\)
For point \(C(-8,4)\):
\(x=-8+2=-6\), \(y = 4-10=-6\), new coordinate \(C'(-6,-6)\)
For point \(D(-2,4)\):
\(x=-2 + 2=0\), \(y=4-10=-6\), new coordinate \(D'(0,-6)\)
For point \(E(-2,9)\):
\(x=-2+2=0\), \(y=9 - 10=-1\), new coordinate \(E'(0,-1)\)
For point \(F(-8,9)\):
\(x=-8+2=-6\), \(y=9-10=-1\), new coordinate \(F'(-6,-1)\)

Step3: Plot the new points

Plot \(C'(-6,-6)\), \(D'(0,-6)\), \(E'(0,-1)\), \(F'(-6,-1)\) and connect them to form the translated rectangle.

Answer:

Plot the points \(C'(-6,-6)\), \(D'(0,-6)\), \(E'(0,-1)\), \(F'(-6,-1)\) and connect them.