Given point C (−4,−1)
on the triangle, what are the new coordinates of the point after the triangle is rotated 180° clockwise?
(1 point)
The new coordinates of the point after the triangle is rotated 180° clockwise can be found by reflecting the point across the x-axis and then across the y-axis.
When a point is reflected across the x-axis, the x-coordinate stays the same and the sign of the y-coordinate is flipped. When a point is reflected across the y-axis, the y-coordinate stays the same and the sign of the x-coordinate is flipped.
The x-coordinate of point C is -4. When reflected across the y-axis, the sign of the x-coordinate is flipped, resulting in 4.
The y-coordinate of point C is -1. When reflected across the x-axis, the sign of the y-coordinate is flipped, resulting in 1.
Therefore, the new coordinates of point C after the triangle is rotated 180° clockwise are (4, 1).