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 between the preimage ABC and image A'B'C'. (1 point)
5.6
3.5
3
2/7
To find the scale factor between two triangles, we can divide any corresponding side lengths of the image triangle by the preimage triangle. Let's take the corresponding side lengths AB and A'B':
Scale factor = A'B' / AB
Scale factor = 35 / 10
Scale factor = 3.5
Therefore, the scale factor of a single dilation between the preimage triangle ABC and the image triangle A'B'C' is 3.5. Answer: 3.5