Translations and Reflections on the Coordinate Plane

Front

What is a translation in the coordinate plane?

Back

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

Front

What are the new coordinates of a point (x, y) translated by (a, b)?

Back

The new coordinates are (x + a, y + b).

Front

What does it mean to reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates become (x, -y).

Front

What does it mean to reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new coordinates become (-x, y).

Front

If a point (4, 5) is translated 6 units to the left and 3 units down, what are the new coordinates?

Back

(-2, 2) because (4 - 6, 5 - 3) = (-2, 2).

Front

If a point (2, -7) is translated 3 units left and 4 units up, what are the new coordinates?

Back

(-1, -3) because (2 - 3, -7 + 4) = (-1, -3).

Front

What is the result of reflecting the point (-3, 7) across the x-axis?

Back

The new coordinates are (-3, -7).

Front

What is the result of reflecting the point (8, 3) across the y-axis?

Back

The new coordinates are (-8, 3).

Front

What is the difference between translation and reflection?

Back

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

Front

What is the effect of translating a point 0 units in the x-direction?

Back

The x-coordinate remains unchanged.