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 do you translate a point (x, y) horizontally by 'h' units?

Back

To translate a point (x, y) horizontally by 'h' units, you add 'h' to the x-coordinate: (x + h, y).

Front

How do you translate a point (x, y) vertically by 'k' units?

Back

To translate a point (x, y) vertically by 'k' units, you add 'k' to the y-coordinate: (x, y + k).

Front

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

Back

The new coordinates are (-2, 5).

Front

What are the coordinates of point B(-5, 2) after translating it 2 units left and 3 units down?

Back

The coordinates of B' are (-7, -1).

Front

What happens to the coordinates of a point when it is translated 0 units horizontally and 0 units vertically?

Back

The coordinates remain the same; the point does not move.

Front

If triangle ABC is translated 3 units right and 2 units down, what is the effect on the coordinates of its vertices?

Back

Each vertex (x, y) of triangle ABC will be transformed to (x + 3, y - 2).

Front

What is the result of translating point C(1, -1) by -3 units horizontally and 4 units vertically?

Back

The new coordinates of C' are (-2, 3).

Front

How do you find the new coordinates after a translation?

Back

Add the horizontal translation value to the x-coordinate and the vertical translation value to the y-coordinate.

Front

If point D(0, 0) is translated 5 units right and 5 units up, what are the coordinates of D'?

Back

The coordinates of D' are (5, 5).