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Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation of 3 units to the right and 4 units up?

Back

The translation can be described as moving the shape 3 units right and 4 units up.

Front

What is the result of the translation (x, y) → (x - 9, y + 8)?

Back

The result is a translation of 9 units left and 8 units up.

Front

What does the transformation (x, y) → (x + 2, y - 3) represent?

Back

This transformation represents a slide 2 units to the right and 3 units down.

Front

What is the term for the original figure before a transformation?

Back

The original figure is called the pre-image.

Front

If a shape is translated 4 squares to the right and 1 square up, how would you describe this transformation?

Back

This transformation can be described as a translation of 4 units right and 1 unit up.

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

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Front

How can you represent a translation mathematically?

Back

A translation can be represented as (x, y) → (x + a, y + b), where 'a' and 'b' are the distances moved in the x and y directions, respectively.

Front

What is the geometric representation of a translation?

Back

A translation can be represented graphically by drawing arrows from the original position of the shape to its new position.