Which transformation involves moving a shape a fixed distance in a specified direction?

Which transformation involves moving a shape a fixed distance in a specified direction?

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

Answer: (B)

The transformation that involves moving a shape a fixed distance in a specified direction is translation. In a translation, each point of the shape moves the same distance in the same direction, effectively creating a "sliding" effect. This means that the shape maintains its size, orientation, and shape throughout the movement; only its position changes. For instance, if you have a triangle and you translate it 3 units to the right and 2 units up, every point of the triangle will move exactly that distance in the specified direction. This transformation can be represented mathematically by adding a vector to each point's coordinates. Understanding translations is fundamental in geometry because they can be combined with other transformations (like reflections or rotations) to create more complex movements.

The transformation that involves moving a shape a fixed distance in a specified direction is translation. In a translation, each point of the shape moves the same distance in the same direction, effectively creating a "sliding" effect. This means that the shape maintains its size, orientation, and shape throughout the movement; only its position changes.

For instance, if you have a triangle and you translate it 3 units to the right and 2 units up, every point of the triangle will move exactly that distance in the specified direction. This transformation can be represented mathematically by adding a vector to each point's coordinates.

Understanding translations is fundamental in geometry because they can be combined with other transformations (like reflections or rotations) to create more complex movements.