reflections across the x- or y- axis practice anwer???

Answer 1

To reflect points across the x-axis or y-axis, you need to understand how the coordinates of the points change during the reflection:

1. Reflection across the x-axis:

   • The x-coordinate remains the same, while the y-coordinate changes its sign.
   • If a point is \( (x, y) \), its reflection across the x-axis will be \( (x, -y) \).

2. Reflection across the y-axis:

   • The y-coordinate remains the same, while the x-coordinate changes its sign.
   • If a point is \( (x, y) \), its reflection across the y-axis will be \( (-x, y) \).

Example Exercises

1. Reflect the point (3, 4) across the x-axis.

   • Reflection: \( (3, 4) \rightarrow (3, -4) \)

2. Reflect the point (-2, 5) across the y-axis.

   • Reflection: \( (-2, 5) \rightarrow (2, 5) \)

3. Reflect the point (1, -7) across the x-axis.

   • Reflection: \( (1, -7) \rightarrow (1, 7) \)

4. Reflect the point (4, 2) across the y-axis.

   • Reflection: \( (4, 2) \rightarrow (-4, 2) \)

5. Reflect the point (-3, -2) across the x-axis.

   • Reflection: \( (-3, -2) \rightarrow (-3, 2) \)

Practice Problems

1. Reflect (5, -3) across the x-axis.
2. Reflect (-7, 8) across the y-axis.
3. Reflect (0, -4) across the x-axis.
4. Reflect (9, 0) across the y-axis.

Answers to Practice Problems

1. (5, -3) across x-axis: (5, 3)
2. (-7, 8) across y-axis: (7, 8)
3. (0, -4) across x-axis: (0, 4)
4. (9, 0) across y-axis: (-9, 0)

Feel free to ask for more examples or explanations!