Transformations

Slide, flip and turn

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• Translations, reflections and rotations preserve lengths and angles.
• Reflection in $y = x$ swaps coordinates; rotating $90°$ sends $(x, y)$ to $(-y, x)$.
• Two reflections make a translation (parallel mirrors) or a rotation (crossing mirrors).

Steps

1. Rigid motions
2. Turn to match
3. Mirror image
4. Symmetry
5. Two mirrors make a turn
6. Two mirrors