Translations & Reflections

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

To reflect a point (x, y) across the x-axis, the new point will be (x, -y).

To reflect a point (x, y) across the y-axis, the new point will be (-x, y).

The result is (1, -4).

The result is (1, -4).

It means to move every point of the shape 3 units in the positive x-direction.

It means to move every point of the shape 5 units in the positive y-direction.

The new position will be (1, 6).

A translation moves a shape without changing its orientation, while a reflection flips a shape over a line.

Check the coordinates of the points before and after the transformation. If the y-coordinates change signs, it's a reflection across the x-axis; if the x-coordinates change signs, it's across the y-axis.