Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a rotation of 180Âabout the origin O.

Option B

Step-by-step explanation:

First we would identify the coordinates of the points before they are rotated.

A(2, 0), B(4, 0), C(5, -2), D(1, -2)

Plot a graph with the coordinates.

We find that the figure appears in the fourth quadrant.

Find attached the diagram.

To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.

That is positive sign becomes negative and vice versa:

A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)

This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.

Plotting the new coordinates on a graph would give option B.