Rigid Transformations

Front

What are the three types of rigid transformations?

Back

Translations, rotations, and reflections.

Front

What is the effect of a reflection over the x-axis on the coordinates?

Back

It changes the y-coordinate.

Front

Identify the transformation: A shape moves 5 units left and 1 unit up.

Back

Translation 5 units left, 1 unit up.

Front

What direction describes the translation from ABCD to A'B'C'D'?

Back

Up 3, left 6.

Front

If you translate (x-4,y), how does the point move?

Back

4 units left.

Front

Define a translation in geometry.

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a shape around a fixed point at a certain angle.

Front

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

Back

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

Front

What is the result of a 90-degree rotation counterclockwise around the origin for the point (x,y)?

Back

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

Front

What is the definition of a reflection in geometry?

Back

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