Point MM is located at left parenthesis, 1, comma, minus, 1, right parenthesis(1,−1) on the coordinate plane. Point MM is reflected over the xx-axis to create point M, primeM 
′
 . What ordered pair describes the location of M, prime, question markM 
′
 ?

When a point is reflected over the x-axis, the x-coordinate remains the same, but the y-coordinate is multiplied by -1. 

The original point is \( M(1, -1) \).

Reflecting it over the x-axis:
- The x-coordinate remains 1.
- The y-coordinate becomes \(-(-1) = 1\).

Therefore, the coordinates of the reflected point \( M' \) are \( (1, 1) \).

### The ordered pair for \( M' \) is \( (1, 1) \).

Would you like more details on reflections, or have any other questions?

Here are 5 related questions:
1. What happens when a point is reflected over the y-axis?
2. How would the coordinates change if the point was reflected over the line \( y = x \)?
3. What is the result of reflecting a point over both the x-axis and y-axis?
4. How can you calculate the distance between a point and its reflection over the x-axis?
5. What would be the coordinates of \( M' \) if the original point was \( (1, 2) \)?

**Tip:** Reflections over different axes follow simple rules, making them easy to perform with practice!

Point MM is located at (1,−1) on the coordinate plane. Point MM is reflected over the x-axis to create point M'. What ordered pair describes the location of M'?

Explore how to reflect a point over the x-axis, using the example of point (1, -1). This problem covers key geometry concepts and reflection formulas, providing a step-by-step solution for students in Grades 6-8.

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