The given diagram shows a triangle with a point $R$ being reflected across the x-axis to get point $R'$. Let's determine the coordinates of point $R'$.

Step-by-Step Solution:

1. Original Coordinates of $R$: From the graph, the point $R$ appears to be at coordinates $(-3, 3)$.

2. Reflection Across the x-Axis:

   • When a point $(x, y)$ is reflected across the x-axis, its new coordinates become $(x, -y)$.
   • Applying this rule to $R(-3, 3)$, the reflected point $R'$ will be $(-3, -3)$.

Conclusion:

The coordinates of $R'$ after reflection across the x-axis will be $(-3, -3)$.

The correct answer is:

• $\boxed{(-3, -3)}$

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

Here are 5 related questions to expand your understanding:

1. What happens when you reflect a point across the y-axis instead of the x-axis?
2. How would you reflect a point across both axes (x and y)?
3. How do reflections affect shapes like triangles or quadrilaterals?
4. What are the coordinates of point C after reflecting it across the x-axis?
5. Can you derive a general formula for reflecting a point across any line, not just the axes?

Tip: When reflecting a point across the x-axis, only the y-coordinate changes, becoming its opposite.