Question

If pentagon abcde is rotated 180° around the origin to create pentagon a²b²c²d²e², what is the ordered pair of point a²?

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

Answer 1

The ordered pair of point A² after rotating the pentagon ABCDE 180° around the origin is (-2, -4).the correct answer is option c)

Step-by-step explanation:

When pentagon ABCDE is rotated 180° around the origin, the new pentagon A²B²C²D²E² is created. To find the ordered pair of point A², we need to find the new coordinates of point A after the rotation.

The rotation of a point (x, y) around the origin by 180° can be done by multiplying the coordinates by -1. So, if the original coordinates of point A are (x, y), the new coordinates of point A² after the rotation will be (-x, -y).

Therefore, the ordered pair of point A² is (-2, -4). So, the answer is option 3) (-2, -4).