Question

what kind of translation has been done to quadrilateral ABCD?
A(2,2) B(6,4) C(10,4)D(6,2)
Quadrilateral ABCD has been translated
units to the right and
units down. (Make sure answers are positive numbers)

Answer 1

To determine the translation of quadrilateral ABCD, we need to analyze the coordinates of its vertices before and after the translation.

**Original coordinates:**
- A(2, 2)
- B(6, 4)
- C(10, 4)
- D(6, 2)

To find how much the quadrilateral has been translated, we would need the vertices of the translated quadrilateral. If you provide the new coordinates of quadrilateral ABCD after the translation, I can help calculate the translation values (how many units to the right and how many units down).

However, if we are to assume that the vertices after translation are known, here’s how you would solve it:

1. Determine the new coordinates (let's say the new coordinates are A'(x', y'), B'(x', y'), etc.).
2. Calculate how much the x-coordinates have changed (right translation) and how much the y-coordinates have changed (down translation) for one pair of corresponding points.

For example:
If A' is the new point:
- Translation right (Δx) = x' - x (original)
- Translation down (Δy) = y - y' (original)

This process is repeated for all points, and the same translation values should apply.

Please provide the new coordinates of quadrilateral ABCD after translation to find the specific translation values.