The three transformations of line segments refer to the operations of translation, rotation, and scaling that can be performed on a line segment to alter its position, orientation, or size.
1. Translation: Translation involves moving the line segment from one location to another without changing its size or shape. This is achieved by shifting all points of the line segment in a consistent direction by a certain distance. The line segment maintains its original orientation and length, just changing its position in space.
2. Rotation: Rotation involves rotating the line segment about a fixed point called the center of rotation. The line segment spins around this point, and all its points travel along a circular path. Depending on the angle and direction of rotation, the line segment can either rotate clockwise or counterclockwise. The center of rotation may or may not be on the line segment itself.
3. Scaling: Scaling involves changing the size of the line segment proportionally. When scaling, all points on the line segment move either closer (scale down) or farther away (scale up) from a fixed center point. The center point of scaling is typically referred to as the center of dilation. The line segment's length increases or decreases based on the factor of scaling, making it longer or shorter while maintaining its original orientation.
Write a definition or explain how the 3 transformations of line segments work.
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