Question

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

Explanation:

Step1: Find original coordinates

Original coordinates: \( A(-6,5) \), \( B(-6,7) \), \( C(4,5) \), \( D(4,7) \)

Step2: Apply translation rule

Translation \( 8 \) units down: \((x,y)\to(x,y - 8)\)
For \( A(-6,5) \): \( (-6,5-8)=(-6,-3) \)
For \( B(-6,7) \): \( (-6,7 - 8)=(-6,-1) \)
For \( C(4,5) \): \( (4,5-8)=(4,-3) \)
For \( D(4,7) \): \( (4,7 - 8)=(4,-1) \)

Answer:

\( A(-6,-3) \), \( B(-6,-1) \), \( C(4,-3) \), \( D(4,-1) \)