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]
