4.4 Exploration, example #3
Directions
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.
- 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 image over the line y = x.
Example #3
Analysis
- 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?
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.