Final Answer:
The correct reflections for each shape across the given lines are as follows:
1) Reflected shape across y = -x: The original green L-shape in quadrant III will flip to quadrant I, with corners at (3, -2), (3, -4), (1, -4).
2) Reflected shape across y = x: The original triangle in quadrant II flips to quadrant IV; its corners move from (-3, 2), (-1, 2), (-1, 4) to (2, -3), (2, -1), (4, -1).
3) Reflected shape across x = 1: The green rectangle on the right side of x=1 flips to the left side. Original corners (2, 3), (4, 3), (4, 1), (2, 1) become (0, 3), (-2, 3), (-2, 1), (0, 1).
4) Reflected shape across the y-axis: The triangle in quadrant I flips to quadrant II. Corners (1, 3), (3, 1), (5, 1) become (-1, 3), (-3, 1), (-5, 1).
5) Reflected shape across y = 2: The parallelogram above y=2 flips below it. Original corners (1, 3), (3, 3), (4, 4), (2, 4) become (1, 1), (3, 1), (4, 0), (2, 0).
6) Reflected shape across the x-axis: The step shape in quadrant IV flips to quadrant I. Original corners (2, -1), (4, -1), (4, -2), (3, -2), (3, -3), (2, -3) become (2, 1), (4, 1), (4, 2), (3, 2), (3, 3), (2, 3).
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Parent Tip: Review the logic above to help your child master the concept of reflection geometry worksheet.
