Things to Learn
- Discover that the reflection is its own inverse transformation.
- Understand that a sequence of a reflection followed by a translation is not necessarily equal to a translation followed by a reflection.
Sequencing Reflections and Translations
Before you Go
- Choose an area at a white board. Leave room for other students and share.
- Use a straight edge to draw a diagonal line across your section of the board. Label the line L.
- Use a string and marker to make a small circle on one side of line L. Keep the center point. Label the circle A.
- Translate the circle along the horizontal edge of the board (top or bottom) to a center point an equal distance on the other side of line L (this is a translation, not a reflection). Label the new circle A’.
- Reflect A’ across line L. Label the new circle A”.
- Translate A” along the vertical edge of the board (a side) to a center point an equal distance on the other side of line L (this is a translation, not a reflection). Label the new circle A”’.
- Reflect A”’ across line L. Label the new circle A””.
- Take a picture with the IPad and email to Mr. Clarkson.
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