Translations and Reflections

Front

What is a translation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is the pre-image in a transformation?

Back

The pre-image is the original shape or figure before any transformation is applied.

Front

What is the image in a transformation?

Back

The image is the resulting shape or figure after a transformation has been applied.

Front

How do you translate a point (x, y) 5 units to the right?

Back

To translate the point (x, y) 5 units to the right, add 5 to the x-coordinate: (x + 5, y).

Front

How do you reflect a point (x, y) over the x-axis?

Back

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

Front

How do you reflect a point (x, y) over the y-axis?

Back

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

Front

What is the result of reflecting the point (3, 4) over the x-axis?

Back

The result is the point (3, -4).

Front

What is the result of translating the point (2, 3) 4 units down?

Back

The result is the point (2, -1).

Front

What does it mean to translate a shape 8 units down and 5 units to the right?

Back

It means to move every point of the shape 8 units down and 5 units to the right in the coordinate plane.