Question

Please help ASAP!!!

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

Answer 1

Answer: A

Step-by-step 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

Answer 2

Answer:

Option A is the answer.

Step-by-step explanation:

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

We can apply the formula to get the scale factor as

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

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

= $\frac{AB'+AA'}{AB}$

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

= $\frac{18}{6}$

= 3

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

Option A is the answer.