the side lengths of triangles 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
A.3
b.5.6
c.2/7
d.3.5
B. 5.6
To find the scale factor of a single dilation between the preimage triangle ABC and the image triangle A'B'C', we can compare the corresponding side lengths of the two triangles.
The ratio of the side length of triangle A'B'C' to the side length of triangle ABC is as follows:
35/10 = 3.5
49/14 = 3.5
56/16 = 3.5
Since all the ratios are the same, the scale factor of a single dilation between the two triangles is 3.5 or 3.5/1, which is equivalent to 5.6/1.