Question

A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.

Answer 1

`A' = (0,0)`

`B'= (9,18)`

`C'= (21,12)`

Explanation:

Given

`A= (0,0)`

`B= (3,6)`

`C= (7,4)`

`k = 3` -- dilation factor

Required

Determine the coordinates of the new triangle

This is calculated using:

`New = Old * k`

So, we have:

`A' = A *3`

`A' = (0,0) *3`

`A' = (0,0)`

`B' = B * 3`

`B'= (3,6)*3`

`B'= (3*3,6*3)`

`B'= (9,18)`

and

`C' = C * 3`

`C'= (7,4)*3`

`C'= (7*3,4*3)`

`C'= (21,12)`