Question

What set of reflections would carry kite ABCD onto itself?

Answer 1

y-axis, x-axis, y-axis, x-axis

Answer 2

Answer:

Set of reflections would carry same figure y-axis, x-axis, y-axis, x-axis.

B is correct.

Step-by-step 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.