Rigid Transformations F20 Review

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What does translation mean in geometry?

Back

A transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

Add a to x and b to y: (x, y) → (x + a, y + b).

Front

What is a rotation in geometry?

Back

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

Front

How do you rotate a point (x, y) 90 degrees counterclockwise around the origin?

Back

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

Front

What is reflection in geometry?

Back

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

Front

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

Back

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

Front

What is the effect of a 180-degree rotation around the origin on a point (x, y)?

Back

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

Front

What is dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape, using a scale factor.

Front

What is the scale factor in dilation?

Back

A number that determines how much a figure is enlarged or reduced.