Question

Please help ASAP!!!

triangle a'b'c' is a dilation of triangle abc. which is the correct description of the dilation?

Answer 1

Option A is the answer.

Explanation:

Triangle A'B'C' is a dilation of triangle ABC.

We can apply the formula to get the scale factor as

Scale factor =
`\frac{\text{One side of triangle A'B'C'}}{\text{Corresponding side of triangle ABC}}`

=
`(A'B')/(AB)`

=
`(AB'+AA')/(AB)`

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

=
`(18)/(6)`

= 3

Therefore, ΔABC has been dilated with a scale factor of 3 about the point B as the center.

Option A is the answer.

Answer 2

Answer: A

Explanation:

`\overline{AB}` has a length of 6

`\overline{A'B'}` has a length of 6 + 12 = 18, which is 3 times the length of
`\overline{AB}`

B = B' so this will be the center point

⇒ center B and a scale factor of 3