4.4 Exploration, example #1

Directions
For examples #1 & 2, you will perform a double reflection over two lines that are parallel to each other. Use the applet to perform the given double reflection. After, answer the questions to deduce a pattern for a generic double reflection over parallel lines.
Example #1
[list=1][*]Trace over the triangle with the polygon tool[/*][*]Trace each line using the line tool[/*][*]Reflect the triangle over the line x = -3[/*][*]Reflect the [b]image[/b][b] [/b]over the line x = 2[br][/*][/list]
Things to consider
[list=1][*]What transformation could you have done to go directly from the pre-image to the final image without doing the middle reflection?[/*][*]What was the magnitude (size) of that transformation?[/*][*]What direction was the transformation?[/*][/list][br]All of these questions could be predicted just by knowing this is a double reflection over parallel lines. Make a conjecture (guess) that predicts each of these answers based on the starting information. Test your conjecture by completing example #2.

Information: 4.4 Exploration, example #1