Translations

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) -> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does the transformation (x + 5, y - 2) indicate?

Back

This transformation indicates a translation 5 units to the right and 2 units down.

Front

If a shape is translated 3 units left and 4 units up, what is the mathematical representation?

Back

The representation is (x, y) -> (x - 3, y + 4).

Front

What is the image in a transformation?

Back

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

Front

What is the pre-image in a transformation?

Back

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

Front

If a point (2, 3) is translated 4 units right and 2 units up, what is the new position?

Back

The new position is (6, 5).

Front

What does the transformation (x, y) -> (x, y + 4) mean?

Back

It means to slide the shape up by 4 units.

Front

What is the effect of translating a shape 0 units horizontally and 5 units vertically?

Back

The shape will move straight up by 5 units.

Front

If a shape is translated 10 units left, what is the transformation rule?

Back

The transformation rule is (x, y) -> (x - 10, y).