Translations

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

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

Make a footprint pattern using only reflections.

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

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

What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

Can you swap the black knights with the white knights in the minimum number of moves?