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On a coordinate plane, a quadrilateral has points E (negative 2, 0), D (0, 4), G (4, 2), and F (0, 0).
Which are true if figure DEFG is reflected across the x-axis? Check all that apply.

D(0, 4) → D'(0, –4)
E(–2, 0) → E'(–2, 0)
The perpendicular distance from G' to the x-axis will equal 2 units.
The perpendicular distance from D' to the x-axis will equal 8 units.
The orientation will be preserved.

Respuesta :

Lanuel

By applying the reflection rule across the x-axis to quadrilateral DEFG, we obtain the following true statements:

  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 be equal to 2 units.

The reflection of a quadrilateral.

In Geometry, the x-axis would remain the same if a quadrilateral is reflected across the x-axis and the sign on the y-axis would change either from positive to negative and vice-versa.

By applying the reflection rule across the x-axis (x, y) → (x, -y), we obtain the following true statements:

  • D(0, 4) → D'(0, -4)
  • E(-2, 0) → E'(-2, 0)
  • The perpendicular distance from G' to the x-axis will be equal to 2 units.

Read more on reflection here: https://brainly.com/question/10929277

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