Translations

Front

What is a translation in geometry?

Back

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

Front

What does the term 'pre-image' refer to?

Back

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

Front

If a shape is translated 5 units to the right and 2 units down, what are the new coordinates of the shape if the original coordinates are (3, 4)?

Back

The new coordinates would be (8, 2).

Front

What is the rule for translating a point (x, y) 1 unit to the left?

Back

The rule is (x, y) --> (x - 1, y).

Front

How do you translate a shape 3 units up?

Back

To translate a shape 3 units up, you add 3 to the y-coordinate of each point of the shape.

Front

What is the result of translating point A(2, 3) using the rule (x, y) --> (x + 4, y - 2)?

Back

The new coordinates of point A would be (6, 1).

Front

If a shape is translated 4 squares to the right and 1 square up, what is the translation vector?

Back

The translation vector is (4, 1).

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has been applied to the pre-image.

Front

Translate point B(-1, 2) using the rule (x, y) --> (x + 3, y + 5). What are the new coordinates?

Back

The new coordinates of point B would be (2, 7).

Front

What does it mean to translate a shape 5 units to the left?

Back

It means to move every point of the shape 5 units in the negative x-direction.