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4 years ago

10.

Mathematics

1 answer:

Stells [14]4 years ago

7 0

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.

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