Translation

Front

What is a translation in geometry?

Back

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

Front

What is the algebraic notation for a translation that moves a point 4 units to the right and 9 units down?

Back

(x, y) --> (x + 4, y - 9)

Front

How do you represent a translation that moves a point 7 units left and 4 units up?

Back

(x, y) --> (x - 7, y + 4)

Front

What does the translation (x, y) --> (x + 2, y + 5) indicate?

Back

It indicates a movement of 2 units to the right and 5 units up.

Front

What is the effect of a translation on a geometric figure?

Back

A translation slides the figure to a new position without changing its shape or orientation.

Front

If a point is translated from (3, 4) to (7, 9), what is the translation vector?

Back

The translation vector is (4, 5).

Front

What is the translation of the point (1, 2) using the rule (x, y) --> (x - 3, y + 6)?

Back

The new point is (-2, 8).

Front

What is the difference between a translation and a rotation?

Back

A translation slides a figure without changing its orientation, while a rotation turns a figure around a fixed point.

Front

If triangle ABC is translated to triangle A'B'C', what does this mean?

Back

It means that every point of triangle ABC has been moved to a corresponding point in triangle A'B'C' according to a specific translation rule.

Front

What is the translation rule for moving a point 5 units left and 2 units down?

Back

(x, y) --> (x - 5, y - 2)