Question

reflected over the x - axis
reflected over the y - axis
reflected over y=x
reflected over y=-x

Explanation:

Step1: Recall reflection rules

Reflection over x - axis changes (x,y) to (x, - y). Reflection over y - axis changes (x,y) to (-x,y). Reflection over y = x changes (x,y) to (y,x). Reflection over y=-x changes (x,y) to (-y,-x).

Step2: Analyze the transformation

Let's take a point, say D. If we assume D has coordinates (x,y) in the original figure and D' in the new figure. By observing the graph, we can see that the x - coordinates of corresponding points in the original and reflected figures are interchanged with the y - coordinates. For example, if a point has coordinates (a,b) in the original figure, its image has coordinates (b,a) in the reflected figure. This is the rule for reflection over the line y = x.

Answer:

Reflected over y=x