Question

homework #1 scale factor
xyz is a scale copy of
abc.
what is the scale factor?

Explanation:

Step1: Determine lengths of corresponding sides

Assume each grid square has side length 1. For triangle \(ABC\), let's find the length of \(AB\) and for triangle \(XYZ\), find the length of \(XY\). From the grid, \(AB = 2\) units (count the number of grid squares along \(AB\)), and \(XY = 6\) units (count the number of grid squares along \(XY\)).

Step2: Calculate scale factor

The scale factor from \(ABC\) to \(XYZ\) is the ratio of the length of a side in \(XYZ\) to the corresponding side in \(ABC\). So, scale factor \(=\frac{XY}{AB}=\frac{6}{2} = 3\).

Answer:

3