Answer: The correct options are 1,2 and 3.
Explanation:
If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes.
According to the reflection rule across the x-axis,
[tex](x,y)\rightarrow(x,-y)[/tex]
From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).
After reflection,
[tex]D(0,4)\rightarrow D'(0,-4)[/tex]
[tex]E(-2,0)\rightarrow E'(-2,0)[/tex]
Therefore the option 1 and 2 are correct.
From the given figure it is noticed the distance of point G from the x-axis is 2, therefore the distance from the G' to x-axis is also 2, because the distance of preimage and image are equal from the line of reflection.
Therefore, the option 3 is correct.
From the given figure it is noticed the distance of point D from the x-axis is 4, therefore the distance from the D' to x-axis is also 4.
Therefore, the option 4 is incorrect.
From the below figure it is clearly noticed that the orientation will not be preserved. Because the sides are not equal, so the reflection will change the orientation.
