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8. which segment is the image of fg when rotated 90° clockwise around p…

Question

  1. which segment is the image of fg when rotated 90° clockwise around point p? (from unit 1, lesson 14.) type a response

Explanation:

Step1: Understand rotation concept

When a segment is rotated \(90^{\circ}\) clockwise around a point, we can use the property of rotation. For a \(90^{\circ}\) clockwise rotation, if we consider the relative position of the segment with respect to the center of rotation (point \(P\)).
Let's assume we can use the grid - based coordinate system (implicit from the graph). We can think of the movement of the endpoints of segment \(FG\) around point \(P\).

Step2: Analyze the position

If we consider the direction and the angle of rotation. Segment \(FG\) is vertical. After a \(90^{\circ}\) clockwise rotation around point \(P\), we look for a horizontal segment in the correct relative position. Segment \(HI\) has the same length as \(FG\) (assuming grid - unit length) and is positioned correctly after a \(90^{\circ}\) clockwise rotation around point \(P\) (by checking the orientation and the distance from the center of rotation using the grid).

Answer:

\(HI\)