Transformations - Rigid Motions

Front

What is a transformation in geometry?

Back

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

Front

What are rigid motions?

Back

Rigid motions are transformations that preserve distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the line of reflection for the point (2, -7) to become (-7, 2)?

Back

The line of reflection is y = x.

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How do you translate a point vertically and horizontally?

Back

To translate a point, add or subtract from the x-coordinate for horizontal movement and from the y-coordinate for vertical movement.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is the result of rotating a point 180° about the origin?

Back

The coordinates of the point (x, y) become (-x, -y) after a 180° rotation about the origin.

Front

What does a 90° clockwise rotation do to the coordinates (x, y)?

Back

A 90° clockwise rotation transforms (x, y) to (y, -x).

Front

What does a reflection across the x-axis do to the coordinates (x, y)?

Back

A reflection across the x-axis transforms (x, y) to (x, -y).