step 1
Verify if the figures are similar
Remember that, if two figures are similar, then the ratio of its corresponding sides is proportional
so
In this problem we have two squares, and the squares are always similar figures
step 2
Find the scale factor
the scale factor is the ratio between corresponding sides
In this problem we have a reduction, because the figure I is smaller than figure II
the scale factor is equal to
scale factor=1/3
therefore
the answer is
scale factor 1/3 and it is a reduction (figure II to figure I)
Part 2
look at shape 111 in graph 2, is there a dilation that maps shape 11 onto shape 111? I'd so, what is the scale factor and is it an enlargement or a reduction
Figure II to figure III ------> is a reduction
so the scale factor is
scale factor=2/3
the answer is
Yes, there is a dilation
It is a reduction
scale factor=2/3
Part 3
is there a dilation that maps shape 111 onto shape 11? if so what is these scale factor and us it an enlargement or a reduction
REmember that
All the squares are similar
so
Yes, there is a dilation
Figure III to Figure II ------> it is an enlargement
scale factor=3/2=1.5
Part 4
is shape 1 similar to shape 11? why or why not?
Yes, they are similar
because, all the squares are always similar
that means, that the ratio of its corresponding sides is proportional
Part 5
is shape 11 similar to shape 111? why or why not?
Yes, they are similar
because, all the squares are always similar
that means, that the ratio of its corresponding sides is proportional
Part 6
if shape 1 is similar to shape 11 and shape 11 is similar to shape 111, what does that mean for shape 1 and shape 111?
yes , they are similar
shape 1 and shape 111 are similar because if you multiply the length of square 1 by the scale factor (2) you obtain the length of square 111