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# Transformations on a Pegboard

Someone using an elastic band and a pegboard used four pegs to make the blue square you see below. They challenged another person to double the area by just moving two of the pegs. You can see what they did here.

Have a go at these:

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

Someone using an elastic band and a pegboard used four pegs to make the blue square you see below. They challenged another person to double the area by just moving two of the pegs. You can see what they did here.

Have a go at these:

Can you make this into a right-angled triangle by moving just one peg?

Can you enlarge this to the same shape with all the sides twice the length, moving just two pegs?

You could use our interactive geoboard below to try out your ideas.

Choose the size of your pegboard then select the line tool and click on two dots to draw a line between them.

You could set up some similar challenges for your friends, or have a go at More Transformations on a Pegboard.