Question

b)
c)
d)
a
c
d
b
b (response not displayed)

Explanation:

To determine the correct transformation (likely a translation, rotation, or reflection) of the original figure to the image with \( G' \), we analyze the position of \( G' \) relative to the other vertices (like \( F', E', D' \)). In option C, the coordinates of \( G' \), \( F' \), \( E' \), and \( D' \) align with a consistent transformation (e.g., translation or rotation) that preserves the shape and relative positions of the polygon's vertices. Other options (B, D, A - though A is partially shown) have misaligned vertex positions or incorrect orientations.

Answer:

C (assuming the original figure's transformation leads to the vertex positions in option C matching the expected geometric transformation of the polygon with vertices \( G', F', E', D' \))