Question

answer attempt 1 out of 2 which side in the figure on the right corresponds to segment db? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In similar - shaped polygons, corresponding sides are in proportion. By visual inspection of the two polygons, if they are similar, the side that corresponds to segment $DB$ in the larger polygon is $YX$.

Step2: Calculate scale factor

Let's assume we can count the grid - squares to find the lengths of corresponding sides. Suppose the length of $DB$ is $l_1$ and the length of $YX$ is $l_2$. If we count the number of grid - squares for $DB$ and $YX$, say $DB$ has a length of 2 units (by counting grid - squares) and $YX$ has a length of 4 units. The scale factor $k$ from the smaller polygon to the larger polygon is given by the ratio of the lengths of corresponding sides. So, $k=\frac{l_2}{l_1}=\frac{4}{2} = 2$.

Answer:

The side that corresponds to segment $DB$ is $YX$. The scale factor is 2.