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 is the image in a transformation?

Back

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

Front

What is the pre-image in a transformation?

Back

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

Front

If point A is at (2, 3) and is translated 3 units to the right and 2 units down, where is the image of point A?

Back

The image of point A is at (5, 1).

Front

What does the notation (x + 2, y - 3) indicate?

Back

It indicates a translation 2 units to the right and 3 units down.

Front

If point B is at (1, 4) and is translated to B' at (4, 1), how was point B translated?

Back

Point B was translated 3 units to the right and 3 units down.

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

What happens to the coordinates of a point when it is translated left?

Back

The x-coordinate decreases by the number of units translated left.

Front

If a triangle is translated 2 units left and 3 units up, what is the new position of point (4, 5)?

Back

The new position will be (2, 8).