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The question asks to determine the rule that describes the reflection of triangle \( MKJ \) across the x-axis to form triangle \( M'K'J' \).

### Coordinates of triangle \( MKJ \):
- \( M(-6, -2) \)
- \( K(-4, -2) \)
- \( J(-5, -4) \)

When reflecting a point across the x-axis, the rule applied is:
- The x-coordinate remains the same.
- The y-coordinate changes its sign (from positive to negative or vice versa).

Thus, the reflection rule is:
\[
(x, y) \rightarrow (x, -y)
\]

### Applying the rule:
- \( M(-6, -2) \rightarrow M'(-6, 2) \)
- \( K(-4, -2) \rightarrow K'(-4, 2) \)
- \( J(-5, -4) \rightarrow J'(-5, 4) \)

### Answer:
The transformation rule that describes this reflection is \( (x, y) \rightarrow (x, -y) \), which corresponds to **Option D**.

Would you like more details on reflection transformations? Here are some related questions for further practice:

1. What is the rule for reflecting a point over the y-axis?
2. How would the coordinates change if you reflect across the origin?
3. What is the effect of reflecting over the line \( y = x \)?
4. Can you reflect a triangle across a vertical line other than the y-axis? How would that change the rule?
5. How do the coordinates of a point change when reflected across both axes?

**Tip:** When reflecting a shape, only the coordinate opposite to the axis of reflection changes sign.

The coordinates of the vertices of a triangle are M(-6, -2), K(-4, -2), and J(-5, -4). Triangle MKJ is reflected across the x-axis to create triangle M'K'J'. Which rule describes this transformation?

Learn how to reflect triangle MKJ across the x-axis using coordinate geometry. This problem involves applying the rule (x, y) -> (x, -y) to determine the transformation of points M, K, and J. Suitable for students in Grades 8-10.

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