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Question
problem 1 describe a sequence of transformations that moves the shaded figure onto the unshaded figure.
Brief Explanations
- First, observe the orientation: the shaded figure needs a rotation. A 90 - degree clockwise (or 270 - degree counter - clockwise) rotation around a point (e.g., the vertex of the "V" shape) will align the sides better.
- Then, consider the position: after rotation, we need to translate (move) the figure. Count the grid units: horizontally, we can move left (let's say 5 units) and vertically, we can move down (let's say 1 unit, depending on the exact grid). Or alternatively, translate first and then rotate, but rotation first is more intuitive here. For example, rotate the shaded figure 90° clockwise around its inner vertex, then translate it left by 5 units and down by 1 unit (or other appropriate translation based on grid counting) to match the unshaded figure.
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One possible sequence: Rotate the shaded figure 90° clockwise around its inner vertex, then translate it left by 5 units and down by 1 unit (the translation values depend on the exact grid measurement; also, the order of rotation and translation can be adjusted, and rotation direction can be 270° counter - clockwise as an alternative to 90° clockwise).