What type of transformation involves turning a shape around a fixed point by a fixed angle?

What type of transformation involves turning a shape around a fixed point by a fixed angle?

• A. Reflection
• B. Translation
• C. Rotation
• D. Scaling

Answer: (C)

A transformation that involves turning a shape around a fixed point by a fixed angle is called a rotation. In this process, each point of the shape moves along a circular path around the center of rotation, maintaining a consistent distance from that center throughout the movement. The angle of rotation defines how far the shape turns, measured in degrees. For instance, if a triangle is rotated 90 degrees clockwise around a specific point, each vertex of the triangle will move to a new position while still remaining equidistant from the center of rotation. This distinct characteristic of maintaining the shape's size and orientation during the turning motion emphasizes how rotation differs from other types of transformations.

A transformation that involves turning a shape around a fixed point by a fixed angle is called a rotation. In this process, each point of the shape moves along a circular path around the center of rotation, maintaining a consistent distance from that center throughout the movement. The angle of rotation defines how far the shape turns, measured in degrees.

For instance, if a triangle is rotated 90 degrees clockwise around a specific point, each vertex of the triangle will move to a new position while still remaining equidistant from the center of rotation. This distinct characteristic of maintaining the shape's size and orientation during the turning motion emphasizes how rotation differs from other types of transformations.