Question

sarah drew the dilation of triangle abc centered at a to create the image abc. the line is provided to assist as needed and will not be graded. what scale factor did sarah use for her dilation of triangle abc? not quite. try again.

Explanation:

Step1: Identify corresponding sides

Let's consider side $AB$ and its corresponding side $A'B'$. Counting the grid - units, assume $AB$ has a length of 2 units and $A'B'$ has a length of 4 units.

Step2: Calculate scale factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the image to the length of the corresponding side of the pre - image. So, $k=\frac{\text{length of }A'B'}{\text{length of }AB}=\frac{4}{2} = 2$.

Answer:

2