Translations

Front

What is a translation in mathematics?

Back

A translation is a transformation that moves an object by sliding it from one position to another without changing its shape, size, or orientation.

Front

How do you translate a point on a coordinate plane?

Back

To translate a point, you add or subtract values from its coordinates. For example, translating point P(2, 3) 3 units right and 2 units up results in P'(5, 5).

Front

What does it mean to translate a shape 5 units right and 3 units up?

Back

It means to move every point of the shape 5 units to the right along the x-axis and 3 units up along the y-axis.

Front

If point A is at (1, 2) and is translated 4 units left and 3 units down, where is point A' located?

Back

Point A' is located at (-3, -1).

Front

What is the effect of translating a shape downwards?

Back

Translating a shape downwards decreases the y-coordinate of each point of the shape.

Front

If triangle ABC is translated down 9 units and right 4 units, what are the new coordinates of point A(2, 3)?

Back

The new coordinates of point A will be (6, -6).

Front

How do you describe the translation of a shape from one position to another?

Back

You describe the translation by specifying the direction (up, down, left, right) and the distance moved in each direction.

Front

What is the translation vector for moving a shape 2 units left and 3 units up?

Back

The translation vector is (-2, 3).

Front

If a shape is translated 3 units left and 3 units down, what is the change in its coordinates?

Back

The change in coordinates is (-3, -3).

Front

What happens to the orientation of a shape during a translation?

Back

The orientation of a shape remains unchanged during a translation.