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) t (7,5)

Explanation:

Step1: Identify T's coordinates

Point \( T \) has coordinates \( (7, 5) \).

Step2: Apply rotation rule

The \( 90^\circ \) clockwise rotation rule is \( (x, y) \to (y, -x) \). Substitute \( x = 7 \), \( y = 5 \):
New \( x \)-coordinate: \( 5 \), New \( y \)-coordinate: \( -7 \). So \( T' = (5, -7) \).

Answer:

\( (5, -7) \) (corresponding to the option \( (5, -7) \))