Graphing Reflections & Translations

Front

What is a translation in graphing?

Back

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

Front

How do you translate a shape up or down?

Back

To translate a shape up, you add to the y-coordinates; to translate it down, you subtract from the y-coordinates.

Front

How do you translate a shape left or right?

Back

To translate a shape right, you add to the x-coordinates; to translate it left, you subtract from the x-coordinates.

Front

What does it mean for shapes to be congruent?

Back

Congruent shapes are identical in shape and size, meaning they can be superimposed on each other.

Front

What is a reflection in graphing?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate to (x, -y).

Front

What is the result of reflecting the point (3, 2) over the y-axis?

Back

The result is (-3, 2).

Front

What is the result of reflecting the point (3, -6) over the x-axis?

Back

The result is (3, 6).

Front

What is the effect of a translation on the area of a shape?

Back

A translation does not change the area of a shape; it remains the same.