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First, look closely: In problem (f), the grid shows a point located at coordinates (3, -4). The task is to reflect this point across the horizontal line y = -2.
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Next, find information: I recall that reflecting a point (x, y) across a horizontal line y = b uses the formula (x, 2b - y).
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Then, review the findings: Applying the rule with b = -2 and the point (3, -4), the new y-coordinate is 2*(-2) - (-4) = -4 + 4 = 0. The x-coordinate remains 3. Therefore, the reflected point is (3, 0). This means I need to plot a point on the x-axis, 3 units to the right of the origin.
I have now solved all six problems. I will synthesize the final answer.
- Problem a: Reflect (-3, 4) across y = x → (4, -3)
- Problem b: Reflect (4, -2) across y = -x → (2, -4)
- Problem c: Reflect (-4, 2) across x = -1 → (2, 2)
- Problem d: Reflect (-2, -1) across y = 3 → (-2, 7)
- Problem e: Reflect (4, 1) across x = 2 → (0, 1)
- Problem f: Reflect (3, -4) across y = -2 → (3, 0)
Parent Tip: Review the logic above to help your child master the concept of reflections worksheet pdf.
