Question

After a dilation, triangle A(0,0), B(0, 4), C(6,0) becomes triangle A'(0,0), B'(0, 10), C'(15,0).

Choose the scale factor for this dilation.
2
2.5

1.5

3

Answer 1

The scale factor for this dilation can be found by comparing the lengths of corresponding sides of the original triangle and the dilated triangle.

First, let's compare the lengths of AB and A'B'. The length of AB is 4 units, and the length of A'B' is 10 units. The scale factor can then be found by dividing the length of A'B' by the length of AB:

Scale factor = A'B' / AB = 10 / 4 = 2.5

Therefore, the scale factor for this dilation is 2.5.