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
27
Start Fraction 2 over 7 End Fraction
3.5
3.5
3
To find the scale factor of dilation between the preimage ABC and the image A'B'C', we need to compare the corresponding side lengths.
We can compare the first corresponding side lengths:
Side AB in ABC is 10, and side A'B' in A'B'C' is 35.
To find the scale factor between these two sides, we divide the length of A'B' by the length of AB:
35/10 = 3.5
Therefore, the scale factor of a single dilation between the preimage ABC and image A'B'C' is 3.5.
The correct answer is 3.5.