Question

Triangle abc has verticals A(1,6) B(5,4) C(3,1) Triangle ABC will be dilated by a scale factor of three, with the center of dilation at the origin

Answer 1

`A' =(3,18)`

`B' =(15,12)`

`C' =(9,3)`

Explanation:

Given

`A = (1,6)`

`B = (5,4)`

`C = (3,1)`

`k = 3` --- scale factor

Required

The new vertices

To do this, we simply multiply ABC by the scale factor.

So, we have:

`A' = A * k\\B' = B * k\\C' = C * k`

`A' =(1,6) * 3`

`A' =(3,18)`

`B =(5,4) * 3`

`B' =(15,12)`

`C' =(3,1) * 3`

`C' =(9,3)`