Question & Answer

Graph the image of ΔEFG after a reflection over the line y = x.

Graph the image of ΔEFG after a reflection over the line y = x.
A) G’F’E’
B) E’F’G’
C) F’E’G’
D) EGF

1 Answer

Verified archive
Quizzma TeamFebruary 12, 2025

To find the image of triangle ΔEFG after a reflection over the line y = x, you need to switch the x and y coordinates of each vertex of the triangle.

For example, if the vertices are:

– E(x1, y1)

– F(x2, y2)

– G(x3, y3)

After reflecting over the line y = x, the new coordinates will be:

– E'(y1, x1)

– F'(y2, x2)

– G'(y3, x3)

Once you have the new coordinates, you can plot the reflected triangle and compare it with the options given. However, without specific coordinates for points E, F, and G, I can’t provide which option is correct.

It’s essential to visualize the points after the reflection to select the right option among A, B, C, or D.

I encourage you to go through the coordinates systematically and check which option matches your reflected triangle. For further detailed assistance, feel free to visit the extended services page!