Answered

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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

Sagot :

MrRoyal

Answer:

[tex]A' = (3,-1)[/tex]

[tex]B' = (4,1)[/tex]

[tex]C' = (5,-2)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,3)[/tex]

[tex]B = (-1,4)[/tex]

[tex]C = (2,5)[/tex]

Rotation: 90 degrees clockwise

Required

Determine A'B'C'

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

So, we have:

[tex]A = (1,3)[/tex]

[tex]B = (-1,4)[/tex]

[tex]C = (2,5)[/tex]

Becomes

[tex]A' = (3,-1)[/tex]

[tex]B' = (4,1)[/tex]

[tex]C' = (5,-2)[/tex]

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