triangle abc was dilated and translated to form similar triangle abc. what is the scale factor of the…

triangle abc was dilated and translated to form similar triangle abc. what is the scale factor of the dilation? o $\frac{1}{5}$ o $\frac{2}{5}$ o $\frac{5}{2}$ o $\frac{5}{1}$

triangle abc was dilated and translated to form similar triangle abc. what is the scale factor of the dilation? o $\frac{1}{5}$ o $\frac{2}{5}$ o $\frac{5}{2}$ o $\frac{5}{1}$

Answer

Explanation:

Step1: Identify corresponding side lengths

Let's consider the vertical side of triangle ABC from A to C which has a length of 2 units (counting the grid - squares), and the vertical side of triangle A'B'C' from A' to C' which has a length of 5 units.

Step2: Calculate the scale factor

The scale factor (k) of a dilation is given by the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure. So, (k=\frac{\text{length of side in A'B'C'}}{\text{length of corresponding side in ABC}}). Here, (k = \frac{5}{2}).

Answer:

C. (\frac{5}{2})