Answer:
Set of reflections would carry same figure y-axis, x-axis, y-axis, x-axis.
B is correct.
Explanation:
We are given a kite ABCD. We need to find set of reflection would carry same figure.
Original figure in II quadrant.
Transform Original figure to Figure 1: Reflection across y-axis T(x,y)→(-x,y). Please see the attachment. (In first quadrant)
Transform Figure 1 to Figure 2: Reflection across y-axis T(x,y)→(x,-y). Please see the attachment. (In IV quadrant)
Transform Figure 2 to Figure 3: Reflection across y-axis T(x,y)→(-x,y). Please see the attachment. (In III quadrant)
Transform Figure 3 to Figure 4: Reflection across x-axis T(x,y)→(x,-y). Please see the attachment. (In II quadrant)
We can see figure 4 is equivalent to original figure.
Thus, Set of reflections would carry same figure y-axis, x-axis, y-axis, x-axis.