![Notes on a triangle](/sites/default/files/styles/medium/public/thumbnails/content-id-5920-icon.jpg?itok=lB78dQH3)
Rotations
![Notes on a triangle](/sites/default/files/styles/medium/public/thumbnails/content-id-5920-icon.jpg?itok=lB78dQH3)
![Flip](/sites/default/files/styles/medium/public/thumbnails/content-id-5810-icon.png?itok=yXyYRSe7)
problem
Flip
Can you picture where this letter "F" will be on the grid if you
flip it in these different ways?
![Interpenetrating solids](/sites/default/files/styles/medium/public/thumbnails/content-id-5751-icon.jpg?itok=jljUJ_4g)
problem
Interpenetrating solids
This problem provides training in visualisation and representation
of 3D shapes. You will need to imagine rotating cubes, squashing
cubes and even superimposing cubes!
![Arrow Arithmetic 1](/sites/default/files/styles/medium/public/thumbnails/content-id-5584-icon.jpg?itok=OOJA_Rog)
problem
Arrow Arithmetic 1
The first part of an investigation into how to represent numbers
using geometric transformations that ultimately leads us to
discover numbers not on the number line.
![Shape Mapping](/sites/default/files/styles/medium/public/thumbnails/content-id-5568-icon.png?itok=lKTgI93Z)
problem
Shape Mapping
What is the relationship between these first two shapes? Which
shape relates to the third one in the same way? Can you explain
why?
![Rearrange the Square](/sites/default/files/styles/medium/public/thumbnails/content-id-5565-icon.png?itok=x3L-UKER)
problem
Rearrange the Square
We can cut a small triangle off the corner of a square and then fit
the two pieces together. Can you work out how these shapes are made
from the two pieces?
![Peg Rotation](/sites/default/files/styles/medium/public/thumbnails/content-id-5563-icon.png?itok=n2X4Bul_)
problem
Peg Rotation
Can you work out what kind of rotation produced this pattern of
pegs in our pegboard?
![Turning Man](/sites/default/files/styles/medium/public/thumbnails/content-id-5560-icon.png?itok=n0JMA45-)
problem
Turning Man
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
![...on the wall](/sites/default/files/styles/medium/public/thumbnails/content-id-5459-icon.png?itok=3EY3mAJO)
![Simplifying Transformations](/sites/default/files/styles/medium/public/thumbnails/content-id-5333-icon.png?itok=KJ3ydV6w)
problem
Simplifying Transformations
How many different transformations can you find made up from
combinations of R, S and their inverses? Can you be sure that you
have found them all?