Question

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

Answer 1

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: