Draw a triangle with vertices (1, 3), (2, 5), and (4, 3). Then perform the following transformation: a 180° counterclockwise rotation about the origin.



Answer :

Answer:

(-1, -3), (-2, -5), (-4, -3)

Step-by-step explanation:

Let's give each point a variable:

  • A - (1,3)
  • B - (2, 5)
  • C - (4, 3)

In the cartesian plane, if a point [A, B, C], whose position vectors are (x, y) is rotated through 180° (in anticlockwise rotation) about the origin, by construction, the position vector of the image [A', B', C'] is (-x, -y)

[tex]A' \rightarrow \binom{1}{3} \rightarrow - \binom{1}{3} \rightarrow \binom{-1}{-3}[/tex]

[tex]B' \rightarrow \binom{2}{5} \rightarrow - \binom{2}{5} \rightarrow \binom{-2}{-5}[/tex]

[tex]C' \rightarrow \binom{4}{3} \rightarrow - \binom{4}{3} \rightarrow \binom{-4}{-3}[/tex]

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