Question

If you are given the points A (3,3), B (3,15), and C (5,3). What would be the new points for A', B', and C' given a scale factor of 2?

Answer 1

`A' = (6,6)`

`B' = (6,30)`

`C' = (10,6)`

Explanation:

Given

`A = (3,3)`

`B = (3,15)`

`C = (5,3)`

`Scale\ Factor = 2`

Required

Determine A', B' and C'

The new coordinates can be calculated using:

`New = Old * Scale\ factor`

So:

`A' = A * 2`

`A' = (3,3) * 2`

`A' = (3 * 2,3 * 2)`

`A' = (6,6)`

`B' = B * 2`

`B' = (3,15) * 2`

`B' = (3* 2,15* 2)`

`B' = (6,30)`

and

`C' = C * 2`

`C' = (5,3) * 2`

`C' = (5* 2,3* 2)`

`C' = (10,6)`