Respuesta :

merlynthewhizz
The image that shows the reflection of DFEG over the x-axis is the FIRST option. The x-axis is the mirror line. The distance from the mirror line to the reflected shape equals to the distance from the original image to the mirror line.
aksnkj

The figure given in option (1) is the reflection of pre-image DEFG over X-axis.

We know that,

When we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

The reflection of point (x, y) across the x-axis is (x, -y).

How to get the reflection of an image?

Since in option (1) the x-coordinate remains the same for all the vertex and the y-coordinate is the additive inverse of previous y-coordinate.

So the first option is the reflection of pre- image DEFG over the X-axis.

Since in option (2) the image shown is reflected over y-axis because its y-coordinate is same and the x- coordinate is the additive inverse of previous x-coordinate.

So this option is totally wrong.

Similarly, in option (3) the image shown will not showing be any type of reflection.

So this option is also false.

Hence the correct image is shown in option (1).

For more details about reflection, follow the link:

https://brainly.com/question/10464217

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