Question

△stu is rotated 90° clockwise around the origin to form △stu.
90° clockwise rotation:
(x,y)→(y,−x)
what are the coordinates of point t after
the rotation?
(7,−5) (5,−7)
(5,7) (−7,−5)

Explanation:

Step1: Identify the original coordinates

The original coordinates of point \( T \) are \( (7,5) \).

Step2: Apply the rotation formula

For a \( 90^{\circ} \) clockwise rotation \((x,y)\to(y, -x)\). Substitute \( x = 7 \) and \( y = 5 \) into the formula.
We get \( (y,-x)=(5,-7) \).

Answer:

\((5, - 7)\) (corresponding to the second option in the given choices).