Answer:
The scale factor is not 2
Step-by-step explanation:
Given
See attachment for the dilated triangles
Triangle ABC is dilated through center point O to form triangle A'B'C'.
From the attachment, we have:
[tex]OC = 2[/tex] i.e. the distance from the center point to C
and
[tex]OC' = 6[/tex] i.e. the distance from the center point to C'
The length of OC' is calculated using:
[tex]OC' = OC + CC'[/tex]
[tex]OC' = 2 + 4[/tex]
[tex]OC' = 6[/tex]
The scale factor (k) is then calculated by dividing OC' by OC
[tex]k = \frac{OC'}{OC}[/tex]
[tex]k = \frac{6}{2}[/tex]
[tex]k = 3[/tex]
Hence, Tiffany's claim is incorrect.