Answer:
Part A) Is False
Part B) Is True
Step-by-step explanation:
we know that
the scale factor is equal to divide the length of the corresponding side of the second triangle by the length of the corresponding side of the first triangle
Let
z-----> the scale factor
x-----> the length side of the second triangle
y------> the length side of the first triangle
so
[tex]z=\frac{x}{y}[/tex]
In this problem we have
[tex]x=0.8\ units[/tex]
[tex]y=0.5\ units[/tex]
substitute
[tex]z=\frac{0.8}{0.5}=1.6[/tex]
[tex]1.6 > 1[/tex] ------> is an enlargement
Verify the statements
Part A) the scale factor is [tex]0.625[/tex]
The statement is false, because the scale factor is [tex]1.6[/tex]
Part B) the scale factor is [tex]1.6[/tex]
The statement is True -----> see the procedure