Answer:
Figure [tex]B[/tex] is not a scale copy of Figure [tex]A[/tex]
Step-by-step explanation:
If Figure [tex]B[/tex] is scale copy of Figure [tex]A[/tex], then there must be a scalar quantity for all the sides of Figure [tex]A[/tex] to get to all corresponding sides of [tex]B[/tex]. This means that there is a number that if we multiply it to a side of Figure [tex]A[/tex], it equals to a corresponding side of Figure [tex]B[/tex] and this number has to be the same for all the corresponding sides of Figure [tex]A[/tex] and [tex]B[/tex].
To get this number, the scalar quantity, we just divide the length of a side of Figure [tex]B[/tex] by the length of the corresponding side of Figure [tex]A[/tex].
We can see that the side with length [tex]3[/tex] in Figure [tex]A[/tex] corresponds to the side with length [tex]9[/tex] in Figure [tex]B[/tex].
Let [tex]s[/tex] be that scalar quantity. Solving for [tex]s[/tex].
[tex]s = \frac{9}{3} \\ s = 3 [/tex]
Now we have the scalar quantity [tex]3[/tex]. Let's just see if that's consistent with the other corresponding sides.
The other side with length [tex]3[/tex] in Figure [tex]A[/tex] corresponds to the other side in Figure [tex]B[/tex] with length [tex]9[/tex]. That's consistent.
The other two sides of Figure [tex]A[/tex] have the same length, [tex]2.2[/tex]. So as their corresponding sides in Figure [tex]B[/tex] have the same length, [tex]7.3[/tex].
[tex]s = \frac{7.3}{2.2} \\ s = 3.3\overline{18}[/tex]
Since it's not consistent Figure [tex]B[/tex] is not a scale copy of Figure [tex]A[/tex].
