Question

write the coordinates of the vertices after a reflection over the y - axis.

Explanation:

Step1: Find original coordinates

Original coordinates: \(A(-10,-9)\), \(B(0,-9)\), \(C(0,-1)\), \(D(-10,-1)\)

Step2: Apply reflection rule over \(y\)-axis

The rule for reflection over \(y\)-axis is \((x,y)\to(-x,y)\)
For \(A(-10,-9)\): \((-10,-9)\to(10,-9)\)
For \(B(0,-9)\): \((0,-9)\to(0,-9)\) (since \(x = 0\), \(-x=0\))
For \(C(0,-1)\): \((0,-1)\to(0,-1)\)
For \(D(-10,-1)\): \((-10,-1)\to(10,-1)\)

Answer:

\(A'(10,-9)\), \(B'(0,-9)\), \(C'(0,-1)\), \(D'(10,-1)\)