Translations in the Coordinate Plane

Front

What is a translation in the coordinate plane?

Back

A translation in the coordinate plane is a transformation that moves every point of a shape a certain distance in a specified direction.

Front

How does translating a figure down affect its coordinates?

Back

When a figure is translated down, the y-coordinate decreases (subtracts from y).

Front

What is the translation rule for moving a point (x, y) up 5 units?

Back

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

Front

What is the translation rule for moving a point (x, y) left 3 units?

Back

(x, y) --> (x - 3, y)

Front

If a triangle is translated 4 units to the right and 2 units up, what is the translation rule?

Back

(x, y) --> (x + 4, y + 2)

Front

What happens to the x-coordinate when a figure is translated to the left?

Back

The x-coordinate decreases (subtracts from x).

Front

What is the effect of translating a shape 6 units to the right?

Back

The x-coordinate of every point in the shape increases by 6.

Front

If point A (2, 3) is translated using the rule (x, y) --> (x + 1, y - 2), what are the new coordinates of point A'?

Back

(3, 1)

Front

What is the translation rule for moving a point (x, y) down 4 units and left 2 units?

Back

(x, y) --> (x - 2, y - 4)

Front

How do you determine the new coordinates after a translation?

Back

Add or subtract the translation values from the original coordinates.