Rotations

Does changing the order of transformations always/sometimes/never produce the same transformation?

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?

Use the clues about the symmetrical properties of these letters to place them on the grid.

I noticed this about streamers that have rotation symmetry : if there was one centre of rotation there always seems to be a second centre that also worked. Can you find a design that has only one centre of rotation ? Or if you thought that was impossible, could you say why ?

A design is repeated endlessly along a line - rather like a stream of paper coming off a roll. Make a strip that matches itself after rotation, or after reflection

Make a footprint pattern using only reflections.

Points off a rolling wheel make traces. What makes those traces have symmetry?

Squares of the type shown are sewn together to make a quilt. How many different quilts can be made?

A card with the letter N on it is rotated through two different axes. What does the card look like at the end?

Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?