Answer:
The coordinates of the image of vertex G are (-5, 4)
Explanation:
Let us revise some cases of reflection
- If the point (x, y) reflected across the x-axis , then its image is (x, -y)
- If the point (x, y) reflected across the y-axis , then its image is (-x, y)
- If the point (x, y) reflected across the line y = x , then its image is (y, x)
- If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)
From the given figure
∵ The line of the reflection is y = x
→ That means we will switch the coordinates of the point to find its image
∵ The coordinates of vertex G are (4, -5)
∴ The x-coordinate = 4 and the y-coordinate = -5
→ Switch the two coordinates
∴ The coordinates of its image G' are (-5, 4)
∴ The coordinates of the image of vertex G are (-5, 4)