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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Transformations on a Pegboard

Using a pegboard would be helpful, or if you don't have one, try using squared paper or this interactive geoboard.

What are the properties of a right-angled triangle?

Which peg have you tried to move?

Can you make the shape by moving a different peg instead?

Are there any other ways to do it?

## You may also like

### Quadrilaterals

### Timber!

### Fred the Class Robot

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

Using a pegboard would be helpful, or if you don't have one, try using squared paper or this interactive geoboard.

What are the properties of a right-angled triangle?

Which peg have you tried to move?

Can you make the shape by moving a different peg instead?

Are there any other ways to do it?

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

How can the school caretaker be sure that the tree would miss the school buildings if it fell?

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?