This is the sixth part of the Geometer’s Sketchpad Tutorial Series. In this post, we are going to learn how to use the *Translate* command. First, we are going to make a translation vector using two points *A* and *B*, where *A* is the initial and *B* is the terminal point. We are going to construct a triangle and translate it using vector *AB*.

Instructions

1. Using the **Point** tool construct two points and use the **Text** tool to reveal their names. Be sure that they are named *A* and *B*.

2. Using the **Point** tool, construct three points and name them *P*, *Q*, and *R*. You can do this by right clicking each point, selecting *Label Point…,* and then typing the name in the *Label* tab of the *Properties dialog box*.

3. To construct the interior of the triangle, select points *P*, *Q*, and *R*, and then select **Triangle Interior** from the **Construct **menu.

4. Next, we mark vector *AB*. To do this, select *A*, and then select *B*, then select **Mark Vector** from the **Transform** menu.

5. Now, to translate the triangle, select the triangle (the interior and the three points), click **Transform** and then select **Translate…** to display the *Translate dialog box*.

6. In the *Translate dialog box*, be sure that Marked is selected in the *Translation Vector* section and then click the **Translate** button.

7. Use the **Text** tool to reveal the label of the vertices of the translated triangle. Its name should be *P*’*Q*’*R*’.

8. How connect *AB* with the **Segment** tool. Your construction should look like the first figure.

9. Move the points *A* and *B*. What do you observe? Move points *P*, *Q*, *R*. What do you observe?

10. Write as many observations as you can between *PQR* and *P*’*Q*’*R*’.