Question

answer attempt 2 out of 99
which side in the figure on the right corresponds to segment yx?
what is the scale factor? 2
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Explanation:

Step1: Identify corresponding sides

In similar figures, corresponding sides are in proportion. Segment \( YX \) in the left - hand figure corresponds to segment \( HJ \) in the right - hand figure as they are in the same relative position in the similar shapes.

Step2: Calculate scale factor

Let's assume the length of \( YX \) is \( l_1 \) and the length of \( HJ \) is \( l_2 \). If we count the units (assuming each grid square has a side - length of 1 unit). Suppose \( YX \) has a length of 2 units and \( HJ \) has a length of 4 units. The scale factor \( k=\frac{l_2}{l_1}\). So \( k = 2\)

Answer:

The side that corresponds to segment \( YX \) is \( HJ \) and the scale factor is \( 2 \)