Question

10.

AA'B'C' is a dilation image of AABC. Which is the correct description of the dilation?
12
of a
А)
6
B' =B
С

Answer 1

Option (2)

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}}`

=
`((6+12))/(6)`

= 3

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

Option (2) will be the answer.