Point JJ is located at left parenthesis, minus, 1, comma, minus, 6, right parenthesis(−1,−6) on the coordinate plane. Point JJ is reflected over the xx-axis to create point J, primeJ
′
. What ordered pair describes the location of J, prime, question markJ
′

When a point is reflected over the \( x \)-axis, the \( y \)-coordinate of the point changes its sign, while the \( x \)-coordinate remains the same.

Given the coordinates of point \( J \) as \( (-1, -6) \):

1. The \( x \)-coordinate remains \(-1\).
2. The \( y \)-coordinate changes from \(-6\) to \(6\) because of the reflection over the \( x \)-axis.

Thus, the coordinates of the reflected point \( J' \) are:

\[
J' = (-1, 6)
\]

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

Here are some related questions you might explore:

1. How do you reflect a point over the \( y \)-axis?
2. What is the effect of reflecting a point over the line \( y = x \)?
3. How would you reflect a point over the origin?
4. What happens to a point's coordinates when it is reflected over the line \( y = -x \)?
5. How do reflections affect the distance between two points on a coordinate plane?

**Tip:** When reflecting over the \( x \)-axis, always invert the \( y \)-coordinate's sign while keeping the \( x \)-coordinate the same!

Point JJ is located at (-1, -6) on the coordinate plane. Point JJ is reflected over the x-axis to create point J'. What ordered pair describes the location of J'?

Learn how to reflect point (-1, -6) over the x-axis to find its new coordinates on the coordinate plane. This problem covers key geometric concepts like reflections and transformations. Suitable for students in Grades 6-8.

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