Question

write the coordinates of the vertices after a translation 8 units down.
b( , )
c( , )
d( , )
e( , )

Explanation:

Step1: Find original coordinates

• For point \(B\): \(x = - 7\), \(y = 5\)
• For point \(C\): \(x = 4\), \(y = 5\)
• For point \(D\): \(x = 4\), \(y = 7\)
• For point \(E\): \(x = - 7\), \(y = 7\)

Step2: Apply translation rule

Translation \(8\) units down means subtract \(8\) from \(y\)-coordinate.

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

Answer:

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