Translation Activity

A: <2,3>

B: <-2,3>

C: <2,-3>

D: <-2,-3>

Translation Vectors

1. On the graph, create a figure using 3-6 points.

2. Label these points with capital letters and coordinates.

3. Choose 1 color to represent vector A. Shade the box next to the

vector with this color.

4. Using the color you chose, create the new image given by the

translation vector.

5. Describe the movement of your pre-image

6. Repeat steps 3-5 for the remaining vectors.

7. Under a translation, how does the size and shape of the preimage compare

with those of the image?

8. Given the two points (x₁, y₁) and (x₂, y₂), the distance between these points is given by the distance formula:

Don't let the subscripts scare you. They only indicate that there is a "first" point and a "second" point; that is, that you have two points. Whichever one you call "first" or "second" is up to you.

• Find the distance between the points (–2, –3) and (–4, 4).

Just plug them in to the Distance Formula:

Using the above information, chose one of the vectors and find the distance between each preimage point and its corresponding image point.

9. What do you notice about the distances you found?