Reflections

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

Age
7 to 11
Challenge level
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Can you place the blocks so that you see the reflection in the picture?

National Flags
problem
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National flags

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

Age
7 to 14
Challenge level
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How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Attractive Tablecloths
problem
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Attractive tablecloths

Age
14 to 16
Challenge level
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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?
Clocks
problem
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Clocks

Age
7 to 11
Challenge level
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These clocks have been reflected in a mirror. What times do they say?

Exploded Squares
problem
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Exploded squares

Age
5 to 7
Challenge level
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This practical activity challenges you to create symmetrical designs by cutting a square into strips.
Reflecting Squarely
problem
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Reflecting squarely

Age
11 to 14
Challenge level
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In how many ways can you fit all three pieces together to make shapes with line symmetry?

Shady Symmetry
problem
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Shady symmetry

Age
11 to 14
Challenge level
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How many different symmetrical shapes can you make by shading triangles or squares?
Let Us Reflect
problem
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Let us reflect

Age
7 to 11
Challenge level
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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
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Mirror, mirror...

Age
11 to 14
Challenge level
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Explore the effect of reflecting in two parallel mirror lines.