# Geometry and Algebra - October 2006, Stage 1&2

## Problems

### Tessellating Capitals

##### Stage: 1 Challenge Level:

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.

### Four-triangle Arrangements

##### Stage: 1 Challenge Level:

How many different shapes can you make by putting four right- angled isosceles triangles together?

### Coordinate Challenge

##### Stage: 2 Challenge Level:

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

### Tubular Path

##### Stage: 2 Challenge Level:

Can you make the green spot travel through the tube by moving the yellow spot? Could you draw a tube that both spots would follow?

### A Maze of Directions

##### Stage: 2 Challenge Level:

Use the blue spot to help you move the yellow spot from one star to the other. How are the trails of the blue and yellow spots related?

### Escher Tessellations

##### Stage: 2 Challenge Level:

This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.