2.1 Geometric Transformations Flashcard

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a line of reflection?

Back

A line of reflection is a line that acts as a mirror, where each point of a shape is the same distance from the line as its corresponding point in the reflected shape.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a shape around a point, while reflection flips a shape over a line.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a shape from one position to another without changing its size, shape, or orientation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, either enlarging or reducing it.

Front

What does it mean for a transformation to be rigid?

Back

A rigid transformation is one that preserves the shape and size of a figure, such as rotation, reflection, and translation.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is turned during a rotation.

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree to which a shape is turned around the center of rotation.

Front

What is a transformation?

Back

A transformation is an operation that moves or changes a shape in a specific way.