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)
2/7
O 3.5
5.6
03
To find the scale factor of a dilation between two similar figures, we can compare the lengths of corresponding sides.
In this case, the corresponding sides of triangle ABC and triangle A'B'C' are as follows:
AB and A'B' are corresponding sides of length 10 and 35 respectively.
BC and B'C' are corresponding sides of length 14 and 49 respectively.
AC and A'C' are corresponding sides of length 16 and 56 respectively.
To find the scale factor, we can compare the lengths of the corresponding sides. Let's compare the first pair of sides:
10 / 35 = 2/7
Therefore, the scale factor of a single dilation between the preimage ABC and image A'B'C' is 2/7.