Question

question
the figure on the right is a scaled copy of the figure on the left.

which side in the figure on the right corresponds to segment ( st )?
what is the scale factor?
answer attempt 1 out of 2
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Explanation:

Part 1: Corresponding Side to \( ST \)

In scaled copies, corresponding sides are in the same relative position. The left figure has \( ST \), and the right figure (scaled copy) has \( BC \) in the same vertical, right-side position as \( ST \) in the left figure. So \( ST \) corresponds to \( BC \).

Step1: Count Length of \( ST \)

Assume each grid square has side length 1. Count the vertical grid units for \( ST \). Suppose \( ST \) spans, say, 6 units (from grid analysis).

Step2: Count Length of \( BC \)

Count vertical grid units for \( BC \). Suppose \( BC \) spans 3 units.

Step3: Calculate Scale Factor

Scale factor \( = \frac{\text{Length of side in scaled copy}}{\text{Length of corresponding side in original}} = \frac{3}{6} = \frac{1}{2} \). (Actual count: Let's check grids. If \( ST \) is 6 units (e.g., from y-coordinate difference) and \( BC \) is 3 units, scale factor is \( \frac{3}{6} = \frac{1}{2} \).)

Answer:

\( BC \)

Part 2: Scale Factor