Translations

Front

What is a translation in geometry?

Back

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

Front

What is the original figure before a transformation called?

Back

Pre-image.

Front

How do you represent a translation of 5 units up and 3 units to the right algebraically?

Back

(x, y) --> (x + 3, y + 5)

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

If a figure is translated 4 units down, how do you represent it algebraically?

Back

(x, y) --> (x, y - 4)

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

It represents a translation of a figure by 'a' units horizontally and 'b' units vertically.

Front

How is triangle ABC translated to triangle A'B'C' if it moves down 9 and right 4?

Back

The translation can be represented as (x, y) --> (x + 4, y - 9).

Front

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

Back

The figure remains unchanged.

Front

If a figure is translated 2 units left, how do you represent it algebraically?

Back

(x, y) --> (x - 2, y)

Front

What is the difference between a pre-image and an image?

Back

The pre-image is the original figure, while the image is the figure after transformation.