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Transformations on a Pegboard

How would you move the bands on the pegboard to alter these shapes?

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Fred the Class Robot

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

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Cartesian Isometric

The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?

Triangle Pin-down

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
Have you looked at the angles in the triangles drawn? It might help to draw in some radii and work out angles from the centre.

How will you record the triangles you can make? You might like to print off these sheets if you're not using the interactivity:
Sheet of three-peg boards
Sheet of four-peg boards
Sheet of five-peg boards
Sheet of six-peg boards
Sheet of seven-peg boards
Sheet of eight-peg boards
Sheet of nine-peg boards