Question

Rotate triangle ABC 90° clockwise around the origin given the vertices A(1,3)B(-1,4)C(2,5) what are the new vertices for triangle ABC

Answer 1

`A' = (3,-1)`

`B' = (4,1)`

`C' = (5,-2)`

Explanation:

Given

`A = (1,3)`

`B = (-1,4)`

`C = (2,5)`

Rotation: 90 degrees clockwise

Required

Determine A'B'C'

When a point
`P (x,y)` is rotated 90 degrees in the clockwise direction, the new coordinates is:
`P' (y, -x).`

So, we have:

`A = (1,3)`

`B = (-1,4)`

`C = (2,5)`

Becomes

`A' = (3,-1)`

`B' = (4,1)`

`C' = (5,-2)`