Question

graph the image of rectangle abcd after a translation 7 units down.

Explanation:

Step1: Recall translation rule

For a translation 7 units down, we subtract 7 from the y - coordinates of each point.

Step2: Identify original coordinates

Assume \(A(-2,3)\), \(B(6,3)\), \(C(6,6)\), \(D(-2,6)\).

Step3: Calculate new coordinates

For point \(A\): New \(y = 3 - 7=-4\), new coordinates \(A'(-2,-4)\).
For point \(B\): New \(y = 3 - 7=-4\), new coordinates \(B'(6,-4)\).
For point \(C\): New \(y = 6 - 7=-1\), new coordinates \(C'(6,-1)\).
For point \(D\): New \(y = 6 - 7=-1\), new coordinates \(D'(-2,-1)\).

Step4: Graph new rectangle

Plot points \(A'(-2,-4)\), \(B'(6,-4)\), \(C'(6,-1)\), \(D'(-2,-1)\) and connect them to form the new rectangle.

Answer:

Graph the rectangle with vertices \(A'(-2,-4)\), \(B'(6,-4)\), \(C'(6,-1)\), \(D'(-2,-1)\) on the given coordinate - grid.