Question

Tiffany sees this given dilation and claims that the scale factor is 2

Answer 1

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:

$OC = 2$ i.e. the distance from the center point to C

and

$OC' = 6$ i.e. the distance from the center point to C'

The length of OC' is calculated using:

$OC' = OC + CC'$

$OC' = 2 + 4$

$OC' = 6$

The scale factor (k) is then calculated by dividing OC' by OC

$k = \frac{OC'}{OC}$

$k = \frac{6}{2}$

$k = 3$

Hence, Tiffany's claim is incorrect.