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# Let Us Reflect

You will need a mirror for this activity.

Here is a square:

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Age 7 to 11

Challenge Level

You will need a mirror for this activity.

Here is a square:

Where can you put the mirror across the square so that you can still 'see' the whole square?

How many different positions are possible?

How many lines of symmetry does a square have?

Can you reflect part of the square so that you can see a smaller square?

A rectangle? A kite? A hexagon? An octagon?

What do all the shapes have in common?

This problem has been adapted from the book "Starting from Mirrors" by David Fielker, published by BEAM Education. This book is out of print but can still be found on Amazon.

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.