Transformations

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 are the four main types of transformations?

Back

Translation, Reflection, Rotation, and Dilation.

Front

What is a translation?

Back

A translation moves every point of a shape the same distance in a given direction.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point, called the center of rotation.

Front

What is the difference between a translation and a reflection?

Back

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

Front

How do you translate a point (x, y) 4 units left?

Back

The new coordinates will be (x-4, y).

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign: (x, y) becomes (-x, y).

Front

What is the center of rotation?

Back

The fixed point around which a shape rotates.

Front

If a shape is rotated 90 degrees clockwise, how do the coordinates change?

Back

The new coordinates (x, y) become (y, -x).