Rigid Motion Transformations Geometry

Front

What is a rigid motion transformation?

Back

A transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

What are the types of rigid motion transformations?

Back

1. Translation 2. Rotation 3. Reflection

Front

How does a translation transformation work?

Back

A translation moves every point of a figure the same distance in a specified direction.

Front

What happens to the coordinates of a point (x, y) during a 90° clockwise rotation about the origin?

Back

The new coordinates become (y, -x).

Front

What happens to the coordinates of a point (x, y) during a 90° counterclockwise rotation about the origin?

Back

The new coordinates become (-y, x).

Front

What is the effect of reflecting a point across the x-axis?

Back

The y-coordinate changes sign, resulting in the new coordinates (x, -y).

Front

What is the effect of reflecting a point across the y-axis?

Back

The x-coordinate changes sign, resulting in the new coordinates (-x, y).

Front

If point A(3, 4) is reflected across the y-axis, what are the new coordinates?

Back

A'(-3, 4).

Front

If point B(-2, 5) is rotated 180° about the origin, what are the new coordinates?

Back

B'(2, -5).

Front

What is the result of translating point C(1, 2) by (3, 4)?

Back

C'(4, 6).