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

Answer:

$A' = (3,-1)$

$B' = (4,1)$

$C' = (5,-2)$

Step-by-step 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

$A' = (3,-1)$

$B' = (4,1)$

$C' = (5,-2)$