Composing Transformations Worksheet with Answer Key

What's on the worksheet

1. Find the image of a point after a composition of reflections, a quarter turn and a translation.
   (r \circ R)(4, 1)(R \circ r)(4, 1)(R \circ s)(-2, 5)(s \circ R)(-2, 5)(t \circ R \circ R)(1, 6)
2. Write one rule for a sequence of buttons in a drawing app.
3. Decide whether each rule keeps or reverses handedness and name the motion.
   (x, y) \mapsto (4 - y, x + 2)(x, y) \mapsto (6 - x, y)(x, y) \mapsto (2 - x, -6 - y)(x, y) \mapsto (-2 - x, y - 6)
4. Write each motion as a turn or flip followed by a translation.
5. Follow Hannah's stamp reflected in a center line and slid along a banner.
6. Find the starting point after a composition and see why Owen's order is wrong.