Question

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

Explanation:

Step1: Identify corresponding sides

Corresponding sides in similar figures are in the same relative position. Segment $YX$ in the smaller figure corresponds to segment $JH$ in the larger figure as they are in the same angular and linear position with respect to the overall shape.

Step2: Calculate scale factor

Count the lengths of corresponding sides on the grid. Let the length of a side in the smaller figure be $l_1$ and in the larger figure be $l_2$. The scale factor $k=\frac{l_2}{l_1}$. For example, if $l_1 = 4$ and $l_2=8$, then $k = 2$.

Answer:

1. Corresponding side: Segment $JH$
2. Scale - factor: Let's assume we find the lengths of corresponding sides. For example, if we consider a horizontal or vertical side. Suppose side $UV$ has a length of 4 units and side $GF$ has a length of 8 units.

• The scale factor $k=\frac{\text{Length of side in the larger figure}}{\text{Length of corresponding side in the smaller figure}}$.
• If we take the ratio of the lengths of corresponding sides, say for the vertical sides, and assume the length of a vertical side in the smaller figure is $a$ and in the larger figure is $b$.
• By counting the grid - squares, if the length of a vertical side in the smaller figure (e.g., $UV$) is 4 and in the larger figure (e.g., $GF$) is 8, then the scale factor $k = 2$.