Question

write the coordinates of the vertices after a reflection over the line ( y = x ).

Explanation:

Step1: Find original coordinates

The original coordinates are \( B(-5,0) \), \( C(-5,8) \), \( D(-4,8) \), \( E(-4,0) \).

Step2: Apply reflection rule

The rule for reflection over the line \( y = x \) is \((x,y)\to(y,x)\).
For point \( B(-5,0) \): \((-5,0)\to(0, - 5)\)
For point \( C(-5,8) \): \((-5,8)\to(8,-5)\)
For point \( D(-4,8) \): \((-4,8)\to(8,-4)\)
For point \( E(-4,0) \): \((-4,0)\to(0,-4)\)

Answer:

\( B'(0, - 5) \), \( C'(8,-5) \), \( D'(8,-4) \), \( E'(0,-4) \)