For examples #3 & 4, use the applet to reflect the triangle over each of the intersecting lines. After, answer the questions to deduce a pattern for the generic case.

[list=1][*]Use the polygon tool to trace triangle ABC[/*][*]Use the line tool to construct the lines y = 0 and y = x[/*][*]Reflect triangle ABC over the line y = 0[/*][*]Reflect the [b]image [/b]over the line y = x.[/*][/list]

[list=1][*]What transformation occurred that would map the pre-image directly to the final image (without needing to do the reflection in the middle)?[/*][*]What is the magnitude (size) of that transformation?[/*][*]In what direction is this transformation?[/*][/list]If it helps, use this table of values to keep track of the coordinates after each reflection.

All of these questions could be predicted just by knowing this is a double reflection over intersecting lines. Make a conjecture (guess) that predicts each of these answers based on the starting information. Test your conjecture by completing example #4.