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 tq? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

Since the right - hand figure is a scaled copy of the left - hand figure, we match the vertices. Segment $TQ$ in the left figure corresponds to segment $JL$ in the right figure as they are in the same relative position in the similar polygons.

Step2: Calculate scale factor

Let's assume we can measure the length of a corresponding pair of sides. For example, if we consider the horizontal lengths of corresponding sides. Suppose the length of a horizontal side in the left figure (say $RT$) is $x$ units and the length of the corresponding horizontal side in the right figure (say $KJ$) is $y$ units. The scale factor $k=\frac{y}{x}$. By counting the grid - squares, if $RT = 3$ units and $KJ=6$ units, then $k = \frac{6}{3}=2$.

Answer:

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