To find the coordinates of $H'$, the reflection of point $H$ over the x-axis, we follow this process:

Steps:

1. Identify the coordinates of point $H$ on the graph.

   • Point $H$ appears to be at $(5, 2)$.

2. When reflecting a point over the x-axis, the x-coordinate remains the same, while the y-coordinate changes its sign.

   • The formula for reflection over the x-axis is: $(x, y) \to (x, -y)$

3. Applying this to point $H(5, 2)$: $H' = (5, -2)$

Final Answer:

The coordinates of $H'$ are $(5, -2)$.

Would you like further details or have any questions?

Here are 5 related questions to practice:

1. What will be the coordinates of point $B'$ after the reflection?
2. How does the reflection over the y-axis affect the coordinates of a point?
3. If you reflect point $S$ over the x-axis, what will its new coordinates be?
4. How can you determine the line of reflection for any geometric shape?
5. What happens to the distance between two points after one of them is reflected?

Tip: When reflecting over the x-axis, always remember that only the y-coordinate changes its sign!