Exploring the dilation of a line
Go to tools>line tools>line between two points, and then select two points to form your lone somewhere on your Geogebra sheet. Step 1. Use the point tool to place a point somewhere on the GeoGebra Sheet. Step 2. Next go to the tools menu >transformation tools>dilation Step 3. Now click your line and then your point and give a scale factor between 1 and 5 If nothing shows up, try using a smaller scale factor. Repeat this process several times using different points and different scale factors Now reset your sheet. Go to tools> line tools> segment between two points and place a segment somewhere on your sheet. Now follow the same steps you followed before for making points and doing dilations, but this time also include some scale factors between zero and one (IE: .5)
Questions: Write your answers on a sheet of paper. Part 1: 1. In general what do you notice is happening? 2. Does whether your pointis above or below the line affect anything? 3. What happens if the point was on the line? 4. How do you think the scale factor affects the outcome? 5. What do you notice about the relationship between the scale factor and your line segments (pre-image and image) and do you think it will always hold true?