Question

What are the coordinates of the image of vertex G after a reflection across the line y = x?​

Answer 1

Answer:

The coordinates of the image of vertex G are (-5, 4)

Step-by-step 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)