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

Explanation:

Step1: Identify corresponding sides

In similar - scaled figures, corresponding sides are in proportion. By observing the orientation and position of the figures, we can match the sides. Side $WV$ in the left - hand figure corresponds to side $EF$ in the right - hand figure.

Step2: Calculate scale factor

To find the scale factor, we can compare the lengths of corresponding sides. Let's assume we measure the length of a side in the left figure and its corresponding side in the right figure. If we consider a vertical side, for example, the length of a vertical side in the left figure (say $YU$) and its corresponding vertical side in the right figure (say $FH$). By counting the grid units, if the length of $YU$ is 2 units and the length of $FH$ is 4 units. The scale factor $k$ is given by the ratio of the length of the side in the scaled - copy (right figure) to the length of the corresponding side in the original figure (left figure). So, $k=\frac{\text{length of side in right figure}}{\text{length of corresponding side in left figure}}=\frac{4}{2} = 2$.

Answer:

The side in the figure on the right that corresponds to segment $WV$ is $EF$.
The scale factor is 2.