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What is the rule for the reflection? ry-axis(x, y) -- (-x, y) ry-axis(x, y) — (x, -y) rx-axis(x, y) + (-x, y) rx-axis(x, y) = (x, -y) (6,2)

1 Answer

3 votes

To solve this problem, you must take your original point and reflect it across both axes according to the reflection rules.

1. The original point is (6, 2).
2. We'll begin by reflecting it across the y-axis. The rule for reflection across the y-axis is (x, y) --> (-x, y). This changes the sign of the x-coordinate.
3. Applying this rule, the x-coordinate (6) becomes -6. The y-coordinate (2) remains the same because it's reflected across the y-axis. Therefore, the point after being reflected over the y-axis is (-6, 2).
4. Now we'll reflect the original point across the x-axis. The rule for reflection across the x-axis is (x, y) --> (x, -y). This changes the sign of the y-coordinate.
5. Applying this rule, the x-coordinate remains as 6(because we're reflecting across the x-axis) but the y-coordinate (2) becomes -2. Therefore, the point after being reflected over the x-axis is (6, -2).

So, after reflecting the point (6, 2) across the y-axis, we get the point (-6, 2) and reflecting the point (6, 2) across the x-axis, we get the point (6, -2).

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User Genusatplay
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