6.8 Transformations (Translations, Rotations & Reflections)

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What does a translation do to an image?

Back

A translation slides the image to a new position without changing its shape or orientation.

Front

How do you translate a point in the coordinate plane?

Back

To translate a point, you add the translation values to the x and y coordinates of the point.

Front

What is the result of translating the point A(-3, 4) right 5 and up 1?

Back

The result is the point (2, 5).

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 line of reflection for a reflection across the y-axis?

Back

The line of reflection is the y-axis itself, where each point (x, y) becomes (-x, y).

Front

What is the line of reflection for a reflection across the x-axis?

Back

The line of reflection is the x-axis, where each point (x, y) becomes (x, -y).

Front

What does a rotation do to an image?

Back

A rotation turns the image around a fixed point, usually the origin, by a certain angle.

Front

What is a 90° clockwise rotation?

Back

A 90° clockwise rotation turns a point (x, y) to the new position (y, -x).

Front

What is a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation turns a point (x, y) to the new position (-y, x).