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'Shape Mapping' printed from http://nrich.maths.org/
In this problem you're going to explore the changes that have
happened to a shape and then choose a shape that shows the same
change but with a different start.
Here's an example:

is to 

as
is to A, B, C or D below?
Well let's look at this first one together.
We need to decide what changed the square into a rectangle. I see
that it appears to have been stretched to be twice as wide. We now
have to look to see if there is a shape that looks as if that
triangle has been stretched in the same way. Maybe you can see
straight away.
We could look at the four suggestions.
A Looks smaller
B Could be OK
C Not as high
D Just two of them
B is the one which is stretched twice as wide.
Here are some for you to try.
1.

is to 

as
is to:
2.

is to 

as
is to
3.

is to 

as
is to
Can you explain why chose the shape you did in each case?
When you've done these, you might like to invent some for yourself.
Get one or two ready for someone else to do.