Rigid Transformations Review

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

Define translation in geometry.

Back

Translation is a type of rigid transformation that slides a figure from one position to another without turning it.

Front

What does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

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

Front

How do you translate a triangle 2 units left and 9 units up?

Back

Subtract 2 from the x-coordinates and add 9 to the y-coordinates of each vertex of the triangle.

Front

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

Back

The result is the point (y, -x).

Front

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

Back

The result is the point (-x, y).

Front

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

Back

The result is the point (x, -y).

Front

Describe the transformation that occurs when a triangle is rotated 90° counterclockwise.

Back

Each point of the triangle moves to a new position that is 90° counterclockwise around the origin.

Front

What is the difference between rotation and reflection?

Back

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