The side lengths of triangle ABC are 10 14 and 16, the side lengths of triangle A'B'C' are 35 49 and 56. Identify the scale factor of a single dilation
The scale factor of a single dilation can be found by comparing the corresponding side lengths of the two triangles.
In triangle ABC, the side lengths are 10, 14, and 16.
In triangle A'B'C', the corresponding side lengths are 35, 49, and 56.
To find the scale factor, we can take the ratio of the corresponding side lengths:
10/35 = 14/49 = 16/56
Simplifying these ratios:
2/7 = 2/7 = 2/7
Therefore, the scale factor of a single dilation is 2/7.