Question

the figure on the right is a scaled copy of the figure on the left. what is the scale factor? answer attempt 1 out of 2 which side in the figure on the right corresponds to segment jk? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

By observing the two - figures, we can see that the orientation and shape are similar. Segment $JK$ in the left - hand figure corresponds to segment $XV$ in the right - hand figure.

Step2: Calculate scale factor

Count the grid units for the lengths of corresponding sides. Let's assume each grid square has a side - length of 1 unit. Segment $JK$ has a length of 4 units (by counting the horizontal and vertical displacements and using the Pythagorean theorem or simple counting if it's a straight - line segment along the grid). Segment $XV$ has a length of 2 units. The scale factor $k$ is given by the ratio of the length of a side in the scaled copy to the length of the corresponding side in the original figure. So, $k=\frac{\text{length of side in scaled copy}}{\text{length of corresponding side in original figure}}=\frac{2}{4}=\frac{1}{2}$.

Answer:

Corresponding side: $XV$
Scale factor: $\frac{1}{2}$