Translations

Explore the effect of reflecting in two parallel mirror lines.

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?

Make a footprint pattern using only reflections.

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

Weekly Problem 1 - 2006
The diagram shows two circles enclosed in a rectangle. What is the distance between the centres of the circles?

The white square slides once around the pink square. Through what distance does the point P on the white square move?

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

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?