Transformations on a Pegboard

Stage: 2 Challenge Level: Challenge Level:1

Billy and Tanya were making shapes on a pegboard with elastic bands. They had made all the shapes that Miss Chan had asked them to do, so they started making up puzzles. This was one of them:

Tanya asked Billy, "Can you change this square into a rectangle which is twice the area of the square moving just two pegs?" The dotted line shows what Billy did:

2 by 2 square made into 2 by 4 rectangle

Can you do their other puzzles?

Here is Billy's:
Can you make this into a right-angled triangle by moving just one peg?

traingle of base 6 units, perpendicular height 4

Here is Tanya's puzzle:
Can you enlarge this to the same shape with all the sides twice the length, moving just two pegs?

4 by 2 rectangle

 


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Published July 2003,August 2003.