Use the image to answer the question.

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, upper A, upper T, and upper H.

Rectangle MATH
is rotated 180 degrees about the origin. Use rotation mapping to solve for the coordinates of T′
.

(1 point)
T′
(
,
)

Answer 1

To find the coordinates of the point T' after rotating the rectangle MATH 180 degrees about the origin, you need to apply the rotation mapping.

The rotation mapping for a 180-degree rotation about the origin can be described by the transformation:

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

This means that for any point (x, y), its new coordinates after the rotation will be (-x, -y).

To find T' specifically, we need the original coordinates of point T. Let's assume the coordinates of T are (x_T, y_T).

After applying the rotation, the new coordinates of T' would be:

\[ T' (x_T', y_T') = (-x_T, -y_T) \]

If you provide the original coordinates of point T, I can help calculate T′ explicitly.