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)
Responses
5.6
5.6
3
3
3.5
3.5
27
To find the scale factor, divide the corresponding side lengths of the image triangle by the corresponding side lengths of the preimage triangle.
For the first side, 35/10 = 3.5
For the second side, 49/14 = 3.5
For the third side, 56/16 = 3.5
Therefore, the scale factor of the dilation is 3.5.