Which are true if figure defg is reflected across the x-axis? check all that apply.
1.d(0, 4) → d'(0, –4)
2.e(–2, 0) → e'(–2, 0)
3.the perpendicular distance from g' to the x-axis will equal 2 units.
4.the perpendicular distance from d' to the x-axis will equal 8 units.
5.the orientation will be preserved.

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,

From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).

After reflection,

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.

1st, 2nd, and 3rd are correct:)

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step-by-step explanation: