Question

question
the figure on the right is a scaled copy of the figure on the left.
answer attempt 1 out of 2
which side in the figure on the right corresponds to segment fe?
what is the scale factor?

Explanation:

Step1: Identify corresponding sides

Since the right - hand figure is a scaled copy of the left - hand figure, by observing the orientation and shape, side $ST$ corresponds to side $FE$.

Step2: Determine scale factor

Count the grid units for a pair of corresponding sides. Let's assume side $FE$ has a length of 6 units (by counting grid squares) and side $ST$ has a length of 2 units. The scale factor $k$ is given by the ratio of the length of the side in the scaled - down figure to the length of the corresponding side in the original figure. So $k=\frac{\text{length of side in right - hand figure}}{\text{length of corresponding side in left - hand figure}}=\frac{2}{6}=\frac{1}{3}$.

Answer:

The side that corresponds to segment $FE$ is $ST$. The scale factor is $\frac{1}{3}$.