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problem 2 describe a sequence of transformations that maps the shaded f…

Question

problem 2 describe a sequence of transformations that maps the shaded figure onto the unshaded figure.

Explanation:

Step1: Identify Rotation

First, rotate the shaded figure 90 degrees counterclockwise (or 270 degrees clockwise) around a suitable center (e.g., a vertex or midpoint) to align its orientation with the unshaded figure.

Step2: Identify Translation

After rotation, translate (move) the rotated figure horizontally and vertically to match the position of the unshaded figure. For example, if the shaded figure is at a lower - left position and the unshaded at upper - right, calculate the horizontal and vertical shifts needed.

A possible sequence: Rotate the shaded figure 90° counterclockwise about its center, then translate it 3 units up and 2 units to the right (the exact translation depends on the grid coordinates, but the key is rotation followed by translation to map the shaded to unshaded).

Answer:

One possible sequence: Rotate the shaded figure 90° counterclockwise about its center, then translate it (the specific translation values depend on the grid; e.g., 3 units up and 2 units right) to map onto the unshaded figure.