Question

a point has the coordinates (0, k), where k ≠ 0. which reflection of the point will produce an image at the same coordinates, (0, k)? a reflection of the point across the y - axis a reflection of the point across the line y = x a reflection of the point across the line y = -x a reflection of the point across the x - axis

Explanation:

Step1: Recall reflection rules

Reflection across y - axis for point (x,y) gives (-x,y). For (0,k), it's (0,k).

Step2: Check other reflections

Across y = x: (x,y)→(y,x), so (0,k)→(k,0). Across y=-x: (x,y)→(-y,-x), so (0,k)→(-k,0). Across x - axis: (x,y)→(x,-y), so (0,k)→(0,-k).

Answer:

a reflection of the point across the y - axis