# Angles, Triangles and Trigonometry - June 2007, Stage 1&2

## Problems

### Turning

##### Stage: 1 Challenge Level:

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

### Matching Triangles

##### Stage: 1 Challenge Level:

Can you sort these triangles into three different families and explain how you did it?

### Inside Triangles

##### Stage: 1 Challenge Level:

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

### How Safe Are You?

##### Stage: 2 Challenge Level:

How much do you have to turn these dials by in order to unlock the safes?

### Six Places to Visit

##### Stage: 2 Challenge Level:

Can you describe the journey to each of the six places on these maps? How would you turn at each junction?

### Number the Sides

##### Stage: 2 Challenge Level:

The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?

### Dotty Circle

##### Stage: 2 Challenge Level:

Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?