Explore what happens with the points of a translation.
[b]Directions:[/b][br]1. Click "Show Translation", then click "Show Length of Vector".[br]2. Play around with the points on the vector by clicking and dragging.[br]3. Click "Distance from Pre-image to Image". This will show you the distance between each point of the pre-image to it's corresponding image point.[br]4. Click "Coordinates of Pre-image" and "Coordinates of Image".[br]5. Continue to move the points around to make observations about the pre-image and the final-image shown.[br]6. Answer the questions below.
1.
What do you notice about the vector length and the distance between the pre-image and image points?
The length of the vector is [b]the same[/b] as the distance between the pre-image and image points. ([i]in your own words[/i])
2.
Create a vertical translation. Write the rule for the translation below.
Example ONLY, your answer will be different but similar format: ([i]x, y[/i]) -> ([i]x[/i] - 3, [i]y[/i])
3.
Create a horizontal translation. Write the rule for the translation below.
Example ONLY, your answer will be different but similar format: ([i]x, y[/i]) -> ([i]x[/i], [i]y + [/i]2)
4.
Create a diagonal translation. Write the rule for the translation below.
Example ONLY, your answer will be different but similar format: ([i]x, y[/i]) -> ([i]x[/i] - 3, [i]y + [/i]2)