Question

Triangle A’ B’C’ is a dilation of ABC... What is AB?

Answer 1

Option C.

Explanation:

From the picture attached,

ΔA'B'C' is a dilation of ΔABC which means image ΔA'B'C' is similar to ΔABC.

By the property of similarity corresponding sides of both the triangles will be proportional.

`\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}`

`(AB)/(6)=(15)/(10)`

AB =
`(6* 15)/(10)`

AB =
`(90)/(10)`

AB = 9 units

Therefore, length of side AB = 9 units.

Option C. will be the answer.