Geo3.4 Reflections,Translations, Rotations and Glide Reflections

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 is a rotation in geometry?

Back

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

Front

What is a translation in geometry?

Back

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

Front

What is a glide reflection?

Back

A glide reflection is a transformation that combines a translation and a reflection over a line parallel to the direction of the translation.

Front

What are rigid motions?

Back

Rigid motions are transformations that preserve the shape and size of a figure, including reflections, rotations, and translations.

Front

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

Back

The reflection of the point (x, y) over the x-axis is (x, -y).

Front

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

Back

The reflection of the point (x, y) over the y-axis is (-x, y).

Front

What are the coordinates of point B after a 270° clockwise rotation about the origin if B is at (4, 4)?

Back

The coordinates of point B' after a 270° clockwise rotation are (-4, 4).

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

The angle of rotation for a 90° counterclockwise rotation is 90°.

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

The coordinates of the point (x, y) after a 180° rotation about the origin become (-x, -y).