Answer:
To perform a 180° rotation about the origin, we simply switch the signs of the coordinates and flip them across the x-axis. So, the new coordinates of the vertices will be:
(2, 1) -> (-2, -1)
(4, 2) -> (-4, -2)
(2, 4) -> (-2, -4)
Plotting these points and connecting them, we get the triangle:
(2, 4)
*
/ \
/ \
(-2, -4)---(-4, -2)
(2, 1)
After the 180° rotation, the triangle is flipped upside down and its position is mirrored across the origin.
Explanation: