Question

point g is rotated 90°. the coordinate of the pre - image point g was (7, - 5), and its image g is at the coordinate (5, 7). what is the direction of the rotation? symmetrical horizontally counter - clockwise clockwise

Explanation:

Step1: Recall rotation rules

For a \(90^{\circ}\) rotation:

• Clockwise: \((x,y)\to(y, -x)\)
• Counter - clockwise: \((x,y)\to(-y,x)\)

Step2: Apply the rules

Given \(G=(7,-5)\)

• If rotated clockwise: \((7,-5)\to(-5,-7)\) (not \(G'=(5,7)\))
• If rotated counter - clockwise: \((7,-5)\to(5,7)\) (matches \(G'\))

Answer:

counter - clockwise