Translations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

How do you translate a point (x, y) 3 units to the right?

Back

To translate a point (x, y) 3 units to the right, you add 3 to the x-coordinate, resulting in (x + 3, y).

Front

How do you translate a point (x, y) 4 units down?

Back

To translate a point (x, y) 4 units down, you subtract 4 from the y-coordinate, resulting in (x, y - 4).

Front

What are the coordinates of point A if it is translated 2 units to the right and 3 units up from (1, 2)?

Back

The new coordinates of point A would be (1 + 2, 2 + 3) = (3, 5).

Front

If point B is at (0, 0) and is translated 5 units to the left, what are the new coordinates?

Back

The new coordinates would be (-5, 0).

Front

What is the effect of translating a point 0 units in any direction?

Back

Translating a point 0 units in any direction leaves the point unchanged.

Front

If point C is at (2, 3) and is translated 1 unit to the left and 2 units down, what are the new coordinates?

Back

The new coordinates would be (2 - 1, 3 - 2) = (1, 1).

Front

What happens to the coordinates of a point when it is translated 6 units up?

Back

The y-coordinate of the point increases by 6, while the x-coordinate remains the same.

Front

If point D is at (-2, 4) and is translated 3 units to the right and 1 unit down, what are the new coordinates?

Back

The new coordinates would be (-2 + 3, 4 - 1) = (1, 3).

Front

What is the translation vector for moving a point 4 units left and 2 units up?

Back

The translation vector is (-4, 2).