LSSAE:12/18 Translations, Reflections, Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What does it mean to reflect a shape over a line?

Back

To reflect a shape over a line means to create a mirror image of the shape across that line.

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 the angle of rotation for a 90° counterclockwise rotation?

Back

The angle of rotation is 90°.

Front

How do you determine the new coordinates after translating a point?

Back

To determine the new coordinates, add the translation values to the original coordinates (x,y) to get (x + horizontal shift, y + vertical shift).

Front

If point T is at (2, -5) and is translated 3 units to the right and 6 units up, what are the new coordinates?

Back

The new coordinates are (5, 1).

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The result is (x, -y).

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

The result is (-x, y).

Front

What happens to a shape when it is rotated 180° about the origin?

Back

Each point of the shape moves to a position directly opposite its original position.

Front

How do you translate a quadrilateral EFGH to E'F'G'H'?

Back

Identify the horizontal and vertical shifts needed for each vertex to find the new positions.