To determine the coordinates of $Q''$, let's go through the reflection steps provided in the problem.

Step-by-Step Solution

1. Identify Coordinates of $Q$:

   • From the graph, the coordinates of $Q$ are $(1, 5)$.

2. Reflect $Q$ Across the x-axis to Form $Q'$:

   • Reflecting across the x-axis changes the y-coordinate to its opposite (negative value), while the x-coordinate remains the same.
   • So, $Q'$ will have coordinates $(1, -5)$.

3. Reflect $Q'$ Across the y-axis to Form $Q''$:

   • Reflecting across the y-axis changes the x-coordinate to its opposite, while the y-coordinate stays the same.
   • Therefore, $Q''$ will have coordinates $(-1, -5)$.

Final Answer

The coordinates of $Q''$ are: $(-1, -5)$

Would you like more details, or do you have any questions?

Related Questions

1. What are the coordinates of $P''$ after the same reflections?
2. What are the coordinates of $R''$ after the same reflections?
3. How would the coordinates change if we reflected $\triangle PQR$ only across the y-axis?
4. How do reflections across both axes affect the orientation of a triangle?
5. How can we generalize the transformation rules for reflecting points across axes?

Tip

For reflections: across the x-axis, the y-coordinate changes sign; across the y-axis, the x-coordinate changes sign.