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

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

If point A(2, 3) is translated 4 units to the right and 2 units down, what are the coordinates of A'?

Back

A' will be (6, 1).

Front

What does it mean to translate a shape 5 units down?

Back

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

Front

If a point P(1, 2) is translated to P'(4, 5), what is the translation vector?

Back

The translation vector is (3, 3).

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

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

Back

The point remains in the same position; there is no change.

Front

If trapezoid ABCD is translated 8 units down and 5 units to the right, what happens to each vertex?

Back

Each vertex moves 8 units down and 5 units to the right from its original position.

Front

What is the pre-image in a transformation?

Back

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