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 jk? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In similar - scaled figures, corresponding sides are in proportion. By visual inspection and the concept of similar - scaled figures, the side in the right - hand figure that corresponds to segment $JK$ is $XV$.

Step2: Calculate scale factor

Count the length of $JK$ and $XV$ using the grid. Let's assume that each square on the grid has a side - length of 1 unit. Segment $JK$ has a length of 6 units (by counting the horizontal and vertical displacements and using the Pythagorean theorem, but in this case, it's a straight - line segment and can be counted directly). Segment $XV$ has a length of 3 units. The scale factor $k$ is given by the ratio of the length of a side in the scaled figure to the length of the corresponding side in the original figure. So, $k=\frac{\text{length of side in scaled figure}}{\text{length of corresponding side in original figure}}=\frac{3}{6}=\frac{1}{2}$.

Answer:

The side that corresponds to segment $JK$ is $XV$. The scale factor is $\frac{1}{2}$.