Reflections

Follow hints using a little coordinate geometry, plane geometry and trig to see how matrices are used to work on transformations of the plane.

What is the missing symbol? Can you decode this in a similar way?

Weekly Problem 35 - 2012
How many more triangles need to be shaded to make the pattern have a line of symmetry?

Weekly Problem 28 - 2013
Two lines meet at a point. Another line through this point is reflected in both of these lines. What is the angle between the image lines?

Squares of the type shown are sewn together to make a quilt. How many different quilts can be made?

A design is repeated endlessly along a line - rather like a stream of paper coming off a roll. Make a strip that matches itself after rotation, or after reflection

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?

Weekly Problem 31 - 2008
The flag is given a half turn anticlockwise about the point O and is then reflected in the dotted line. What is the final position of the flag?

Weekly Problem 19 - 2009
When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?

What groups of transformations map a regular pentagon to itself?