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Three line segments form the letter Z. Rotate the figure counterclockwise around the midpoint of BC by...

Three line segments form the letter Z. Rotate the figure counterclockwise around the midpoint of BC by 180°. Explain why the result looks like the same letter Z. Use the geometry tool if it helps with your thinking.

Answer

Answer:

When you rotate the figure counterclockwise around the midpoint of BC by 180°, each point on the figure will be mapped to a point directly opposite it across the midpoint. This means that point A will move to the position of point D, and point D will move to the position of point A. Similarly, point B will move to the position of point C, and point C will move to the position of point B. The line segments will maintain their relative positions, forming the same letter Z, just flipped. This symmetry is why the result looks like the same letter Z.

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