Question

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

Explanation:

Step1: Identify the original coordinates of point \( K \)

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

Step2: Apply the \( 90^{\circ} \) clockwise rotation formula \( (x,y)\to(y, -x) \)

Substitute \( x = 7 \) and \( y = 5 \) into the formula.
We get \( (y,-x)=(5,-7) \).

Answer:

\((5, - 7)\)