Question

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.

Answer 1

True:
- D(0, 4) → D'(0, −4). Reflection across x-axis sends (x,y) to (x,−y).
- E(−2, 0) → E'(−2, 0). Points on the x-axis stay the same.
- The perpendicular distance from G' to the x-axis will equal 2 units (G' is (4, −2), distance = |−2| = 2).

False:
- The perpendicular distance from D' to the x-axis will equal 8 units (D' is (0, −4), distance = 4).
- The orientation will be preserved (a reflection reverses orientation).