What effect does a translation have on figure?

A translation in geometry is a transformation that shifts a figure to a new position without changing its size, shape, or orientation. Here's a breakdown of its effects:

Effects on a Figure:

* Position: The figure's position changes. It slides to a new location based on the direction and magnitude of the translation vector.

* Size and Shape: The figure's size and shape remain unchanged. This means all lengths, angles, and areas are preserved.

* Orientation: The figure's orientation (its direction facing) does not change. It essentially "slides" without rotating or reflecting.

Visualizing the Effect:

Imagine taking a picture and moving it across a piece of paper. The picture's size and shape stay the same, but its location changes. This is analogous to how a translation affects a figure in geometry.

Key Points:

* Translations are rigid transformations, meaning they preserve distances and angles.

* A translation can be defined by a translation vector, which indicates the direction and magnitude of the shift.

Let me know if you'd like to explore specific examples or more details about how translations work!