Question

write the coordinates of the vertices after a translation 8 units down.

Explanation:

Step1: Determine the original coordinates

From the graph, the original coordinates are \( B(-7,5) \), \( C(4,5) \), \( D(4,7) \), \( E(-7,7) \).

Step2: Apply the translation rule

The translation rule for moving 8 units down is \((x,y)\to(x,y - 8)\).

• For point \( B(-7,5) \): \( B'(-7,5 - 8)=(-7,-3) \)
• For point \( C(4,5) \): \( C'(4,5 - 8)=(4,-3) \)
• For point \( D(4,7) \): \( D'(4,7 - 8)=(4,-1) \)
• For point \( E(-7,7) \): \( E'(-7,7 - 8)=(-7,-1) \)

Answer:

\( B'(-7,-3) \), \( C'(4,-3) \), \( D'(4,-1) \), \( E'(-7,-1) \)