Understanding Translations in Geometry

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

What is the image in a transformation?

Back

The image is the figure that results from applying a transformation to the pre-image.

Front

How do you determine the coordinates of a translated point?

Back

To determine the coordinates of a translated point, add the translation vector to the original coordinates.

Front

What does the translation vector represent?

Back

The translation vector represents the direction and distance that each point of the figure is moved during the translation.

Front

If a point A has coordinates (x, y), what are the new coordinates after a translation of (3, -2)?

Back

The new coordinates will be (x + 3, y - 2).

Front

What happens to the shape and size of a figure during a translation?

Back

The shape and size of a figure remain unchanged during a translation.

Front

In a translation, which coordinate is affected when moving left or right?

Back

The x-coordinate is affected when moving left or right.

Front

In a translation, which coordinate is affected when moving up or down?

Back

The y-coordinate is affected when moving up or down.

Front

What is the effect of translating a figure 5 units to the right and 3 units up?

Back

Each point of the figure will move 5 units to the right and 3 units up, changing their coordinates accordingly.