Question

quadrilateral fghi is dilated by a scale factor of \\(\frac{2}{3}\\) to form quadrilateral fghi. what is the measure of side if? \
(image of quadrilateral fghi with side if = 18, fg = 9, gh = 27, hi = 12.7)

Explanation:

Step1: Identify the corresponding side

In the original quadrilateral FGHI, the length of side IF is 18. When a figure is dilated, the length of the corresponding side in the image is the original length multiplied by the scale factor.

Step2: Apply the dilation formula

The scale factor is $\frac{2}{3}$. So, the length of $I'F'$ is $18\times\frac{2}{3}$.
Calculate $18\times\frac{2}{3}$: $18\div3 = 6$, then $6\times2 = 12$.

Answer:

12