Practice worksheet for reflecting points in the coordinate plane, including graphing and recording reflections across x- and y-axes.

Absolutely! Let’s solve this step by step.

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## 🔁 Reflection Basics

When we reflect a point across an axis in the coordinate plane:

- Reflection over the x-axis: The x-coordinate stays the same, but the y-coordinate changes sign.
→ `(x, y)` becomes `(x, -y)`

- Reflection over the y-axis: The y-coordinate stays the same, but the x-coordinate changes sign.
→ `(x, y)` becomes `(-x, y)`

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## ✏️ PART 1: Reflecting Points in the x-axis

Given points:
- A: (1, 3)
- B: (2, -2)
- C: (4, 5)
- D: (2, -5)

Apply reflection over x-axis → `(x, y)` → `(x, -y)`

✔ A (1, 3) → (1, -3)
✔ B (2, -2) → (2, 2)
✔ C (4, 5) → (4, -5)
✔ D (2, -5) → (2, 5)

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## ✏️ PART 2: Reflecting Points in the y-axis

Same points:
- A: (1, 3)
- B: (2, -2)
- C: (4, 5)
- D: (2, -5)

Apply reflection over y-axis → `(x, y)` → `(-x, y)`

✔ A (1, 3) → (-1, 3)
✔ B (2, -2) → (-2, -2)
✔ C (4, 5) → (-4, 5)
✔ D (2, -5) → (-2, -5)

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## ✏️ PART 3: Table — Reflect each point in the x-axis and y-axis

We are given three ordered pairs to reflect:

1. (2, 13)

- Reflection in x-axis → (2, -13)
- Reflection in y-axis → (-2, 13)

2. (-4, 9)

- Reflection in x-axis → (-4, -9)
- Reflection in y-axis → (4, 9)

3. (-10, -8)

- Reflection in x-axis → (-10, 8)
- Reflection in y-axis → (10, -8)

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## 📝 Final Answers to Fill In:

Part 1: Reflection in the x-axis

- A (1,3) Reflection: (1, -3)
- B (2,-2) Reflection: (2, 2)
- C (4,5) Reflection: (4, -5)
- D (2,-5) Reflection: (2, 5)

Part 2: Reflection in the y-axis

- A (1,3) Reflection: (-1, 3)
- B (2,-2) Reflection: (-2, -2)
- C (4,5) Reflection: (-4, 5)
- D (2,-5) Reflection: (-2, -5)

Part 3: Table

| Ordered Pair | Reflection in the x-axis | Reflection in the y-axis |
|--------------|--------------------------|--------------------------|
| (2, 13) | (2, -13) | (-2, 13) |
| (-4, 9) | (-4, -9) | (4, 9) |
| (-10, -8) | (-10, 8) | (10, -8) |

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✔ All done! You can now confidently graph these reflections too — just plot the original point, then flip it over the axis as described. Let me know if you’d like a visual sketch or explanation of how to graph them!