Question

A coordinate plane's x-axis ranges from negative 1 to 20 and its y-axis ranges from negative 10 to 10, both in 1-unit increments. Eight points are marked and plotted forming two quadrilaterals.
What kind of translation has been done to quadrilateral ABCD ?

(1 point)
Quadrilateral ABCD has been translated units to the right and units

Answer 1

To determine the specific translation that has been done to quadrilateral ABCD on the coordinate plane, we need the coordinates of the original quadrilateral and the translated quadrilateral. The translation can be described by how many units it has been moved horizontally (to the right or left) and vertically (up or down).

Here’s how to analyze the translation:

1. **Identify the original coordinates of quadrilateral ABCD.** Let’s say they are \( A(x_1, y_1) \), \( B(x_2, y_2) \), \( C(x_3, y_3) \), and \( D(x_4, y_4) \).

2. **Identify the new coordinates after translation, let's say they are \( A'(x_1', y_1') \), \( B'(x_2', y_2') \), \( C'(x_3', y_3') \), and \( D'(x_4', y_4') \).**

3. **Calculate the horizontal and vertical translation.**
- The translation units to the right is calculated as \( x' - x \) (if positive, it's to the right; if negative, it's to the left).
- The translation units up is calculated as \( y' - y \) (if positive, it's upward; if negative, it's downward).

Once you have the necessary coordinates, you will be able to fill in the translation details.

**Example:**
If \( A(1, 1) \) translates to \( A'(3, 2) \), then:
- Units to the right: \( 3 - 1 = 2 \)
- Units up: \( 2 - 1 = 1 \)

Thus, the translation of quadrilateral ABCD is "2 units to the right and 1 unit up".

If you can provide the actual coordinates or details of the translation, I'd be happy to help you determine the exact translation!