Question

10.

Answer 1

Answer:

Option (2)

Step-by-step explanation:

In the figure attached,

ΔA'B'C' is a dilation image of ΔABC or both the triangle are similar.

Therefore, by the property of similarity of two similar triangles, corresponding sides these similar triangles will be proportional.

Scale factor = $\frac{\text{Side of image triangle}}{\text{Side of the pre-image}}$

                    = $\frac{\text{B'A'}}{\text{B'A}}$

                    = $\frac{\text{(B'A+AA')}}{\text{B'A}}$

                    = $\frac{(6+12)}{6}$

                    = 3

Therefore, scale factor is 3 when center of dilation is B.

Option (2) will be the answer.