Question

write the coordinates of the vertices after a translation 4 units left.

Explanation:

Step1: Determine the original coordinates

The original coordinates are \(S(2,0)\), \(T(2,8)\), \(U(9,9)\), \(V(9,6)\).

Step2: Apply the translation rule

The rule for a translation \(4\) units left is \((x,y)\to(x - 4,y)\).
For point \(S\): \((2-4,0)=(-2,0)\)
For point \(T\): \((2 - 4,8)=(-2,8)\)
For point \(U\): \((9-4,9)=(5,9)\)
For point \(V\): \((9-4,6)=(5,6)\)

Answer:

The new coordinates are \(S'(-2,0)\), \(T'(-2,8)\), \(U'(5,9)\), \(V'(5,6)\)