Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the figure on the right is a scaled copy of the figure on the left. ans…

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 fg? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In similar - scaled figures, the shape and orientation of sides are the same. Segment $FG$ corresponds to segment $ML$ as they have the same relative position in the two similar figures.

Step2: Calculate scale - factor

Count the grid - lengths of corresponding sides. Let's assume the length of $FG$ is 4 units and the length of $ML$ is 2 units. The scale factor $k$ from the larger figure to the smaller figure is given by the ratio of the length of a side in the smaller figure to the length of the corresponding side in the larger figure. So, $k=\frac{\text{length of }ML}{\text{length of }FG}=\frac{2}{4}=\frac{1}{2}$.

Answer:

Which side in the figure on the right corresponds to segment $FG$: ML
What is the scale factor: $\frac{1}{2}$