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, or reflection.

Front

What is a rotation in geometry?

Back

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

Front

What is the angle of rotation for a regular octagon to map onto itself?

Back

The angle of rotation for a regular octagon to map onto itself is 45 degrees.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without turning it.

Front

What is a reflection in geometry?

Back

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

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 translations, rotations, and reflections.

Front

What is the result of a 90 degrees clockwise rotation of a point (x, y)?

Back

The result of a 90 degrees clockwise rotation of a point (x, y) is (y, -x).

Front

What is the result of a 180 degrees rotation of a point (x, y)?

Back

The result of a 180 degrees rotation of a point (x, y) is (-x, -y).

Front

What is the result of a reflection across the x-axis for a point (x, y)?

Back

The result of a reflection across the x-axis for a point (x, y) is (x, -y).

Front

What is the result of a reflection across the y-axis for a point (x, y)?

Back

The result of a reflection across the y-axis for a point (x, y) is (-x, y).