Translations

Front

What is a translation in geometry?

Back

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

Front

What does it mean to translate a shape 5 units right and 2 units down?

Back

It means to move the shape 5 units to the right along the x-axis and 2 units down along the y-axis.

Front

What is the pre-image in a transformation?

Back

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

Front

If a shape is translated using the rule (x+8, y+4), what does this mean?

Back

This means that every point of the shape is moved 8 units to the right and 4 units up.

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

How do you represent a translation mathematically?

Back

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

Front

What is the difference between a translation and a rotation?

Back

A translation moves a shape without changing its orientation, while a rotation turns a shape around a fixed point.

Front

If a shape is translated 3 units left and 1 unit up, what is the translation rule?

Back

The translation rule is (x-3, y+1).

Front

What does it mean to translate a shape 4 squares right and 1 square up?

Back

It means to move the shape 4 squares to the right and 1 square up on a grid.

Front

What is the effect of translating a shape on its size and shape?

Back

Translating a shape does not change its size or shape; it only changes its position.