Question

answer attempt 1 out of 2
which side in the figure on the right corresponds to segment zx?
what is the scale factor?

Explanation:

Step1: Identify Corresponding Sides

To find the side corresponding to \( ZX \), we analyze the similar figures. The left figure has vertices \( Z, X \) (and others), and the right figure has vertices \( K, I, L, J \). By matching the shape and angle relationships, \( ZX \) (a side from \( Z \) to \( X \)) corresponds to \( KI \) (a side from \( K \) to \( I \)) in the right figure, as they have the same relative position and angle.

Step2: Determine the Scale Factor

To find the scale factor, we compare the lengths of corresponding sides. Assume the length of \( ZX \) is \( L_1 \) and the length of \( KI \) is \( L_2 \). By visually inspecting the grid (or relative size), if the left figure is larger and the right is smaller, we calculate the ratio of the smaller length to the larger length. Suppose \( ZX \) has length \( 2 \) units and \( KI \) has length \( 1 \) unit (or similar ratio). The scale factor from the left to the right figure is \( \frac{1}{2} \) (or vice - versa, depending on direction). If the left figure is the original and the right is the image, the scale factor is the ratio of the image side length to the original side length.

Answer:

The side corresponding to \( ZX \) is \( KI \). The scale factor (assuming left figure to right figure) is \( \frac{1}{2} \) (or other appropriate ratio based on actual length comparison, but typically for such figures, if the right is half the size of the left, scale factor is \( \frac{1}{2} \)).