Question

Triangle A’ B’ C’ is a dilation of triangle abc what is the scale factor

Answer 1

The scale factor is:

1/2

Explanation:

We know that the scale factor of a dilation is the ratio of the length of the dilated i.e. transformed figure to the corresponding lengths of the original figure.

Here in the original triangle i.e. ΔABC the length of the side AC is: AC=18 units

and the corresponding side of the dilated triangle i.e. ΔA'B'C' is: A'C'= 9 units

Hence, the scale factor is given by:

`\text{Scale factor}=\frac{\text{Length of A'C'}}{\text{Length of AC}}\\\\i.e.\\\\\text{Scale factor}=(9)/(18)\\\\\text{Scale factor}=(1)/(2)`

Answer 2

1/2

Explanation:

AC=18 and A'C'=9

AB(x)=A'B'

18(x)=9

x=9/18

x=1/2