Question

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 xz?
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, side $NL$ in the right - hand figure corresponds to side $XZ$ in the left - hand figure.

Step2: Calculate the scale factor

Count the number of grid units for a corresponding side. Let's assume side $XY$ has a length of 6 grid units and side $NM$ has a length of 3 grid units. The scale factor $k$ is given by the ratio of the length of a side in the scaled - down figure to the length of the corresponding side in the original figure. So, $k=\frac{\text{length of side in new figure}}{\text{length of corresponding side in original figure}}$. If we take a horizontal side, say $XY$ and $NM$, and assume $XY = 6$ and $NM=3$, then $k=\frac{3}{6}=\frac{1}{2}$.

Answer:

Which side corresponds to segment $XZ$: $NL$
What is the scale factor: $\frac{1}{2}$