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.

2 by 2 square made into 2 by 4 rectangle

Have a go at these;

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

traingle of base 6 units, perpendicular height 4


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

4 by 2 rectangle

You could set up some similar challenges for your friends.