To find the coordinates of the vertices after a reflection over the x-axis, we will change the y-coordinates of each point to their opposite sign while keeping the x-coordinates the same.

The given coordinates are:

• $Q(2, -2)$
• $R(6, -2)$
• $S(6, -10)$
• $P(2, -10)$

Reflected Coordinates

• Reflection over the x-axis changes $(x, y) \to (x, -y)$.
  Applying this rule:

1. $Q(2, -2) \to Q'(2, 2)$
2. $R(6, -2) \to R'(6, 2)$
3. $S(6, -10) \to S'(6, 10)$
4. $P(2, -10) \to P'(2, 10)$

Final Answer:

The coordinates of the vertices after reflection over the x-axis are:

• $Q'(2, 2)$
• $R'(6, 2)$
• $S'(6, 10)$
• $P'(2, 10)$

Would you like a visual representation of the reflected figure or further clarification?

Related Questions:

1. What happens if you reflect the figure over the y-axis instead?
2. How do you reflect a figure over both the x-axis and y-axis?
3. How can you determine the new coordinates after a translation?
4. What is the general rule for reflecting a point over the origin?
5. How would the reflection change if it were over the line $y = x$?

Tip:

Always remember, when reflecting over the x-axis, the y-coordinate changes sign, but the x-coordinate remains the same.