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 of T

The original coordinates of point T are (7, 5), so \( x = 7 \) and \( y = 5 \).

Step2: Apply the 90° clockwise rotation rule

The rule for a 90° clockwise rotation is \( (x, y) \to (y, -x) \). Substitute \( x = 7 \) and \( y = 5 \) into the rule:
New x - coordinate: \( y = 5 \)
New y - coordinate: \( -x = -7 \)
So the coordinates of \( T' \) are (5, -7).

Answer:

(5, -7)