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 figure the same distance in a specified direction.

Front

If a point (x, y) is translated 3 units up, what is the new coordinate?

Back

(x, y + 3)

Front

What happens to the coordinates of a point when it is translated 2 units to the right?

Back

The x-coordinate increases by 2.

Front

What is the translation rule for moving a point 5 units down and 3 units left?

Back

(x, y) --> (x - 3, y - 5)

Front

When a figure is translated down, what happens to the y-coordinate?

Back

The y-coordinate gets smaller (subtract from y).

Front

When a figure is translated to the right, what happens to the x-coordinate?

Back

The x-coordinate gets larger (add to x).

Front

What is the translation rule for moving a point 4 units up and 1 unit left?

Back

(x, y) --> (x - 1, y + 4)

Front

If point A(2, 3) is translated using the rule (x, y) --> (x + 5, y - 2), what are the coordinates of A'?

Back

(7, 1)

Front

How do you describe a translation that moves a figure down 6 units and to the left 2 units?

Back

(x, y) --> (x - 2, y - 6)

Front

What is the effect of translating a point 0 units horizontally and 4 units vertically?

Back

The x-coordinate remains the same, and the y-coordinate increases by 4.