Question

question 18 (1 point)
compare the three figures below. select the statement that correctly identifies which figures are equivalent through rotation.
all three figures are equivalent through rotation.
figures 1 and 3 are equivalent through rotation; figure 2 is different.
none are equivalent through rotation; they are all three unique.
figures 2 and 3 are equivalent through rotation; figure 1 is different.

Explanation:

Step1: Analyze Figure 1 and Figure 3

If we rotate Figure 1 by 180 degrees around the center of the figure (the intersection point of the lines), we can get Figure 3.

Step2: Analyze Figure 2

No rotation of Figure 1 or Figure 3 can result in Figure 2. For example, the positions of the labels are such that a rotation cannot map Figure 1 or 3 to Figure 2.

Answer:

Figures 1 and 3 are equivalent through rotation; figure 2 is different.