Question

B

And the scale factor is
A'
Triangle A'B'C' Is a dilation of triangle ABC.
The center of dilation is (
A
** write your answer as a fraction "number/number" with the / as the division sign

Answer 1

The scale factor is
`(1)/(3)`.

Dilation is a type of rigid transformation which requires either increasing or decreasing the size of a given object using a scale factor.

In the given question, triangle A'B'C' Is a dilation of triangle ABC. This implies that the original triangle was multiplied by a scale factor.

Considering the length of sides of the two triangles, it can be deduced that;

scale factor =
`(length on triangle A'B'C')/(length on triangle ABC)`

=
`(1)/(3)`

Therefore the length of sides of triangle ABC was multiplied by a scale factor of
`(1)/(3)` to produce triangle A'B'C'.