Question

study quadrilateral abcd. which graph of abcd shows the reflection of quadrilateral abcd across the line y = x? graph a graph b graph c graph d

Explanation:

Step1: Know the rule of reflection across \(y = x\)

When a point \((x,y)\) is reflected across the line \(y=x\), the new point is \((y,x)\).

Step2: Analyze each graph

Assume the original quadrilateral \(ABCD\) has vertices. For graph \(C\), if we check the position of each vertex \(A',B',C',D'\) relative to the rule of reflection across \(y = x\), it satisfies the transformation \((x,y)\to(y,x)\) for all corresponding vertices.

Answer:

graph C