Question

EFG has coordinates E(-3, -5), F(-9,1), and G(-6,4). What are the coordinates of the vertices of the image after a reflection in the X-axis?

Answer 1

The coordinates of the vertices of triangle EFG after a reflection in the X-axis are E'(-3, 5), F'(-9, -1), and G'(-6, -4).

Step-by-step explanation:

To find the coordinates of the vertices of triangle EFG after a reflection in the X-axis, you need to change the sign of the y-coordinate for each point, while keeping the x-coordinate the same.

For point E(-3, -5), the reflection in the X-axis will be E'(-3, 5).

For point F(-9, 1), the reflection in the X-axis will be F'(-9, -1).

For point G(-6, 4), the reflection in the X-axis will be G'(-6, -4).

Therefore, the coordinates of the vertices of the image after a reflection in the X-axis are E'(-3, 5), F'(-9, -1), and G'(-6, -4).

Answer 2

Option D is the correct answer

Step-by-step explanation:

When any image is reflected over x-axis, the y-coordinates of the vertices of image are changed to their opposite while the x-coordinates remain the same i.e. (x,y) is changed to (x,-y)

Given points are:

E(-3, -5), F(-9,1), and G(-6,4)

The new points after reflection will be:

E(-3, -5) => E'(-3,5)

F(-9,1) => F'(-9,-1)

G(-6,4) => G'(-6,-4)

Hence,

Option D is the correct answer