Question

the same length.

1. in the figure are several segments and points.

which segment is the image of fg when rotated 90°
clockwise around point p?

Explanation:

Step1: Analyze rotation properties

Rotation of a segment \(90^{\circ}\) clockwise around a point changes its orientation. The length of the segment remains the same (since rotation is a rigid transformation).

Step2: Compare segments

Segment \(FG\) is vertical. After a \(90^{\circ}\) clockwise rotation around \(P\), it should be horizontal. Among the given segments, segment \(HI\) has the same length as \(FG\) and is in the position of a \(90^{\circ}\) clockwise - rotated image of \(FG\) around \(P\).

Answer:

Segment \(HI\)