Translations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

How do you translate a point on a coordinate plane?

Back

To translate a point (x, y), you add or subtract values from the x-coordinate and y-coordinate based on the direction and distance of the translation.

Front

What does the translation rule (x, y) --> (x + a, y + b) represent?

Back

This rule represents a translation where the point is moved 'a' units horizontally and 'b' units vertically.

Front

If a shape is translated 5 units to the right and 2 units down, what is the translation rule?

Back

The translation rule is (x, y) --> (x + 5, y - 2).

Front

What coordinate is affected when translating a shape left or right?

Back

The x-coordinate is affected when translating left or right.

Front

What coordinate is affected when translating a shape up or down?

Back

The y-coordinate is affected when translating up or down.

Front

Translate the point (2, 3) using the rule (x, y) --> (x - 1, y + 4). What are the new coordinates?

Back

The new coordinates are (1, 7).

Front

What does the transformation (x, y) --> (x, y - 3) indicate?

Back

This transformation indicates a slide down 3 units.

Front

If point A (4, -2) is translated 3 units left and 5 units up, what are the new coordinates?

Back

The new coordinates are (1, 3).

Front

What is the effect of the translation rule (x, y) --> (x + 2, y)?

Back

This rule translates the point 2 units to the right without changing the y-coordinate.