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Use the image to answer the question.Solid lines form a rectangle by joining four plotted points located in quadrants 1 and 4 on a coordinate plane. The points are labeled upper M (3,4), upper A (5,4), upper T (5,-1), and upper H (3,-1).Rectangle MATH is rotated 180 degrees about the origin. Use rotation mapping to solve for the coordinates of T′.(1 point)T′(,)

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To find the coordinates of T' after a 180-degree rotation about the origin, we need to apply the rotation mapping for 180 degrees.

The general formula for rotating a point (x, y) by 180 degrees around the origin is:

\[ (x, y) \rightarrow (-x, -y) \]

For point T, which has coordinates (5, -1):

  1. Apply the rotation mapping:
    • x-coordinate: -5
    • y-coordinate: 1

Thus, the coordinates of T' after the rotation will be:

T' = (-5, 1)

So, T' is at the coordinates (-5, 1).