Question

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

Explanation:

Step1: Find the original coordinates

From the graph, we can see the coordinates of the vertices: \(Q(-4,-10)\), \(R(-4,-4)\), \(S(0,-4)\), \(T(0,-10)\)

Step2: Apply the reflection rule

The rule for reflection over the line \(y = x\) is \((x,y)\to(y,x)\)

• For point \(Q(-4,-10)\): \((-4,-10)\to(-10,-4)\)
• For point \(R(-4,-4)\): \((-4,-4)\to(-4,-4)\)
• For point \(S(0,-4)\): \((0,-4)\to(-4,0)\)
• For point \(T(0,-10)\): \((0,-10)\to(-10,0)\)

Answer:

The coordinates of the vertices after reflection are \(Q'(-10,-4)\), \(R'(-4,-4)\), \(S'(-4,0)\), \(T'(-10,0)\)