Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

Define translation in geometry.

Back

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

Front

What happens to the coordinates of a point (x, y) when it is translated 4 units to the left and 5 units down?

Back

The new coordinates will be (x-4, y-5).

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 reflect a point (x, y) over the y-axis?

Back

The reflected point will be (-x, y).

Front

What is rotation in geometry?

Back

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

Front

What are the coordinates of a point (3, 2) after a 90° clockwise rotation around the origin?

Back

The new coordinates will be (2, -3).

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

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

Front

If a trapezoid is translated 5 units down and 4 units to the right, what is the transformation description?

Back

The trapezoid is moved down 5 units and right 4 units.

Front

What quadrants will a point in Quadrant II be in after reflecting over the y-axis and translating 4 units to the right?

Back

It will be in Quadrant I.