Answer:
Part 1) The scale factor is [tex]1.25[/tex]
Part 2) Is an enlargement
Step-by-step explanation:
Part 1)
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor
Let
z-----> the scale factor
x------> the length side of the second hexagon
y-----> the length side of the first hexagon
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=6.25\ units[/tex]
[tex]y=5\ units[/tex]
substitute
[tex]z=\frac{6.25}{5}=1.25[/tex]
Part 2)
we know that
If z > 1 -----> the dilation represent an enlargement
If z < 1 -----> the dilation represent a reduction
In this problem
[tex]z=1.25[/tex]
therefore
Is an enlargement