Translations

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

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) --> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does the notation (x, y) --> (x + 2, y - 3) indicate?

Back

It indicates a translation of 2 units to the right and 3 units down.

Front

If a point (3, 4) is translated 5 units up and 2 units left, what is the new position?

Back

The new position is (1, 9).

Front

What is the effect of translating a shape 0 units horizontally and 0 units vertically?

Back

The shape remains in the same position; it is unchanged.

Front

How can you describe the translation of Quadrilateral EFGH to E'F'G'H'?

Back

It is translated 6 units down and 3 units left.

Front

What is the translation rule for moving a point 4 units down and 1 unit right?

Back

The translation rule is (x, y) --> (x + 1, y - 4).

Front

What is the difference between a translation and a rotation?

Back

A translation moves a shape without changing its orientation, while a rotation turns a shape around a fixed point.

Front

If a point (x, y) is translated according to the rule (x, y) --> (x + 7, y + 5), what direction is it moved?

Back

It is moved 7 units to the right and 5 units up.

Front

What is the result of translating the point (2, 3) using the rule (x, y) --> (x - 3, y + 2)?

Back

The result is (-1, 5).