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 tq? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In similar (scaled) figures, corresponding sides are in the same relative position. Segment $TQ$ in the left - hand figure corresponds to segment $JK$ in the right - hand figure.

Step2: Calculate scale factor

Count the lengths of corresponding sides (using grid squares in this case). Let the length of the side in the original figure be $a$ and the length of the corresponding side in the scaled copy be $b$. The scale factor $k=\frac{b}{a}$. For example, if $a = 2$ and $b = 4$, then $k = 2$.

Answer:

1. The side in the figure on the right that corresponds to segment $TQ$ is $JK$.
2. To find the scale - factor, we need to compare the lengths of corresponding sides. Let's assume we can count the grid squares for side lengths. If we consider a horizontal side, say $RT$ and $KJ$. Suppose $RT$ has a length of 2 units (counting grid - squares) and $KJ$ has a length of 4 units.

• The scale factor formula is $\text{Scale Factor}=\frac{\text{Length of side in scaled copy}}{\text{Length of corresponding side in original}}$.
• So, $\text{Scale Factor}=\frac{4}{2}=2$.