Translate quadrilateral ADCB 5 units to the left and 2 units down. What are the coordinates of new quadrilateral A′D′C′B′?

1 answer

To translate the quadrilateral ADCB 5 units to the left and 2 units down, you need to subtract 5 from the x-coordinates and 2 from the y-coordinates of each vertex of the quadrilateral.

Let’s denote the original coordinates of the vertices as follows:

  • A (x₁, y₁)
  • D (x₂, y₂)
  • C (x₃, y₃)
  • B (x₄, y₄)

After the translation, the new coordinates for each vertex will be:

  • A′ (x₁ - 5, y₁ - 2)
  • D′ (x₂ - 5, y₂ - 2)
  • C′ (x₃ - 5, y₃ - 2)
  • B′ (x₄ - 5, y₄ - 2)

If you provide the original coordinates of points A, D, C, and B, I can give you the exact coordinates of A′, D′, C′, and B′ after the translation.