Translations

Front

What is a translation in geometry?

Back

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

Front

How do you translate a shape on a coordinate plane?

Back

To translate a shape on a coordinate plane, you add or subtract values from the x-coordinate and y-coordinate of each point of the shape.

Front

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

Back

It means to move every point of the shape 5 units in the positive x-direction and 2 units in the negative y-direction.

Front

If a point M has coordinates (-3, 5), what are the new coordinates after applying the translation rule (x, y) --> (x - 1, y)?

Back

The new coordinates of M' would be (-4, 5).

Front

What is the effect of translating a shape left or right on its coordinates?

Back

Translating a shape left or right affects the x-coordinate of the points.

Front

What is the effect of translating a shape up or down on its coordinates?

Back

Translating a shape up or down affects the y-coordinate of the points.

Front

What is the translation rule for moving a shape 8 units down and 5 units to the right?

Back

The translation rule would be (x, y) --> (x + 5, y - 8).

Front

How can you describe the transformation (x, y) --> (x + 2, y - 3)?

Back

This transformation can be described as sliding the shape 2 units to the right and 3 units down.

Front

What is the relationship between the original coordinates and the translated coordinates?

Back

The translated coordinates are obtained by applying the translation rule to the original coordinates.

Front

What is the significance of the x-coordinate in translations?

Back

The x-coordinate determines the horizontal position of a point, and changes to it result in left or right translations.