Final answer:
When a line segment is rotated around a fixed point, the length of the line segment remains the same.
Step-by-step explanation:
The question pertains to the concept of rotation in geometry, specifically the rotation of a line segment around a fixed point. In geometry, when a line segment is rotated about a fixed point without changing its length, the resulting line segment remains congruent to the original. This means that the length of the line segment does not change as a result ofrotation. Therefore, when line segment AB, which is 16 centimeters long, is rotated 24° clockwise around point A, the length of the resulting line segment remains 16 centimeters.
Rotation in geometry involves turning a figure around a fixed point, known as the center of rotation. The amount of turn is measured in degrees and is referred to as the angle of rotation. However, it is important to note that the rotation does not alter the size or shape of the figure. Consequently, the rotation of line segment AB around point A does not affect its length. Thus, whether a line segment is rotated 24°, 90°, or any other measure of angle, the length remains constant. Mathematical properties of congruence and rotations ensure that line segments retain their length regardless of the rotation angle.