Translations

Front

What is a translation in mathematics?

Back

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

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

How do you identify a translation on a graph?

Back

A translation can be identified by observing that the shape has moved to a different location without changing its size or orientation.

Front

What is the effect of a translation on the coordinates of a point?

Back

The coordinates of a point change by adding the translation vector to the original coordinates.

Front

If point A is at (2,3) and is translated 5 units right and 2 units up, what are the new coordinates?

Back

The new coordinates of point A are (7,5).

Front

What is the translation vector for moving a point 3 units left and 4 units down?

Back

The translation vector is (-3, -4).

Front

Can a translation change the orientation of a shape?

Back

No, a translation does not change the orientation of a shape; it only changes its position.

Front

What is the relationship between translations and congruence?

Back

Translations preserve congruence; if a shape is translated, it remains congruent to its original shape.

Front

If triangle ABC is translated to triangle A'B'C', what can be said about the lengths of the sides?

Back

The lengths of the sides of triangle A'B'C' are equal to the lengths of the sides of triangle ABC.

Front

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

Back

The angles of a shape remain unchanged during a translation.