Use the Geogebra applet as you explore translations and answer the following questions.
· Create a stick figure
· Create a segment AB (A is the head of the vector and B is the tail)
· Transform Menu – Translate by Vector
· Select the stick figure (Highlight)
· Select the tail and then the Head
Question: How is the location of the stick figure related to the translation vector?
Drag the vector (segment) such that the tail lies on one of the points of the pre-image.
Question: Where is the head? Why?
Us the segment tool to connect the corresponding points on the pre-image and image.
Question: What do you notice about these segments? Why?
Drag Point A.
Question: What happens? Why?
Predict what will happen if we drag B. Drag point B.
Question: What happens? Why?
Questions: What would happen if you translated a line segment? What will be true about translating that line segment? What about a line?
What will happen when you translate an angle? Why?
Question: Given your experiences, define translation.