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
To find the scale factor of a dilation, we can compare the corresponding sides of the two triangles.
In triangle ABC, the side lengths are 10, 14, and 16.
In triangle A'B'C', the corresponding side lengths are 35, 49, and 56.
To find the scale factor, we can divide the side lengths of triangle A'B'C' by the corresponding side lengths of triangle ABC:
35/10 = 3.5
49/14 = 3.5
56/16 = 3.5
The scale factor of the dilation between triangle ABC and triangle A'B'C' is 3.5.