Translations

Front

What is a translation in geometry?

Back

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

Front

What is the effect of translating a point (x, y) by (a, b)?

Back

The new coordinates will be (x + a, y + b).

Front

What is the image in a transformation?

Back

The image is the result of a transformation applied to a pre-image.

Front

When translating a point up or down, which coordinate is affected?

Back

The y-coordinate is affected.

Front

What happens to the coordinates of a point when it is translated 3 units right and 2 units up?

Back

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

Front

If a point (4, 5) is translated 5 units left and 3 units down, what are the new coordinates?

Back

The new coordinates are (-1, 2).

Front

What does the transformation (x, y) --> (x, y - 6) indicate?

Back

It indicates a translation 6 units down.

Front

What is the pre-image in a transformation?

Back

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

Front

If a triangle ABC is translated to A'B'C', what can we say about the lengths of the sides?

Back

The lengths of the sides remain the same after translation.

Front

What is the translation vector for moving a point 7 units right and 2 units down?

Back

The translation vector is (7, -2).