Reflections

There are 60 NRICH Mathematical resources connected to Reflections
ReflectoR ! RotcelfeR
problem
Favourite

ReflectoR ! RotcelfeR

Age
7 to 11
Challenge level
filled star filled star filled star

Can you place the blocks so that you see the reflection in the picture?

National Flags
problem
Favourite

National flags

Age
7 to 11
Challenge level
filled star empty star empty star
This problem explores the shapes and symmetries in some national flags.
So it's times!
problem
Favourite

So it's times!

Age
7 to 14
Challenge level
filled star filled star filled star

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Attractive Tablecloths
problem
Favourite

Attractive tablecloths

Age
14 to 16
Challenge level
filled star filled star empty star
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Let Us Reflect
problem
Favourite

Let us reflect

Age
7 to 11
Challenge level
filled star empty star empty star

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

Mirror, mirror...
problem
Favourite

Mirror, mirror...

Age
11 to 14
Challenge level
filled star empty star empty star
Explore the effect of reflecting in two parallel mirror lines.
...on the wall
problem
Favourite

...on the wall

Age
11 to 14
Challenge level
filled star filled star empty star
Explore the effect of reflecting in two intersecting mirror lines.
Reflecting Lines
problem
Favourite

Reflecting lines

Age
11 to 14
Challenge level
filled star empty star empty star
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
Surprising Transformations
problem
Favourite

Surprising transformations

Age
14 to 16
Challenge level
filled star filled star empty star

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Transformation Game
game
Favourite

Transformation game

Why not challenge a friend to play this transformation game?