Answer:
The correct line of reflection that maps the polygon ABCDE to its image polygon A' B' C' D' E' is:
C. Reflection across the x-axis
Step-by-step explanation:
The given vertices of the original polygon ABCDE are:
A(-3, 3)
B(-3, 6)
C(1, 6)
D(1, 3)
E(-1, 1)
The given vertices of the image polygon A' B' C' D' E' are:
A'(-5, 3)
B'(-5, 6)
C'(-9, 6)
D'(-9, 3)
E'(-7, 1)
Comparing the coordinates of the original polygon ABCDE and its image polygon A' B' C' D' E', we can see that the y-coordinates are negated, while the x-coordinates remain the same. This indicates that the reflection is happening along the x-axis, as it is the line that reverses the y-coordinates while keeping the x-coordinates unchanged.
Therefore, the correct line of reflection is the x-axis, as shown by option C. Reflection across the x-axis.
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