translation

Front

What is translation in geometry?

Back

Translation is a type of transformation that moves every point of a shape or object a constant distance in a specified direction.

Front

How do you describe a translation in terms of coordinates?

Back

A translation can be described using a vector that indicates how far to move in the x-direction and how far to move in the y-direction.

Front

What is the translation vector for moving a shape 3 units to the right and 4 units up?

Back

The translation vector is (3, 4).

Front

If point P is at (2, 3) and is translated 2 units to the right and 8 units down, what are the coordinates of point P'?

Back

Point P' will be at (4, -5).

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line, changing its orientation.

Front

How do you translate a triangle ABC to triangle A'B'C'?

Back

To translate triangle ABC to triangle A'B'C', you need to determine the translation vector that moves each vertex of triangle ABC to the corresponding vertex of triangle A'B'C'.

Front

What is the translation vector for moving a shape 9 units down and 4 units to the right?

Back

The translation vector is (4, -9).

Front

What type of transformation is a translation?

Back

A translation is a rigid transformation, meaning it preserves the shape and size of the object.

Front

How can you determine the direction of a translation?

Back

The direction of a translation can be determined by the signs of the components of the translation vector; positive x indicates right, negative x indicates left, positive y indicates up, and negative y indicates down.

Front

If a shape is translated multiple times, how do you find the final position?

Back

To find the final position after multiple translations, you can add the translation vectors together to get a single resultant vector.