You might find it helpful to copy this diagram onto squared
paper .
Enlarge the flag by a scale factor of
about the first centre of enlargement.
Now enlarge the resulting flag by a scale factor of
about the
second centre of enlargement. Can you find a single transformation that
takes the first flag to the last flag?
Try this with the flag in different positions, and with different centres of
enlargement. Describe what will happen for any two
centres of enlargement and a flag in any position.
Now try changing the scale factors so that the first enlargement is by
scale factor
and the second by scale factor
. Try some
other similar pairs (remembering that if the first scale factor is
then the second one should be
).
Describe what will happen if the first scale factor
is
and the second
?