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 which side in the figure on the right corresponds to segment uv? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In scaled - copies, corresponding sides are in the same relative position. Segment UV in the left - hand figure corresponds to segment FH in the right - hand figure.

Step2: Calculate scale factor

Count the grid units for a pair of corresponding sides. Let's assume UV has a length of 3 units (by counting grid squares) and FH has a length of 6 units. The scale factor $k$ is given by the ratio of the lengths of corresponding sides in the scaled copy to the original. So, $k=\frac{\text{length of side in scaled copy}}{\text{length of side in original}}=\frac{6}{3} = 2$.

Answer:

The side that corresponds to segment UV is FH.
The scale factor is 2.