Translations, Reflections, Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

How do you describe a translation of a shape?

Back

A translation can be described using a vector, indicating how far to move right/left and up/down.

Front

What does it mean to reflect a shape?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected, such as the x-axis or y-axis.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

How do you determine the angle of rotation?

Back

The angle of rotation is the degree measure of the turn, such as 90°, 180°, or 270°.

Front

What happens to the coordinates of a point when it is rotated 180° about the origin?

Back

When a point (x, y) is rotated 180° about the origin, its new coordinates become (-x, -y).

Front

What is the effect of reflecting a shape across the x-axis?

Back

Reflecting a shape across the x-axis changes the sign of the y-coordinates of its points.

Front

What is the effect of reflecting a shape across the y-axis?

Back

Reflecting a shape across the y-axis changes the sign of the x-coordinates of its points.

Front

How do you perform a translation of 5 units right and 1 unit down?

Back

To translate a point (x, y), add 5 to the x-coordinate and subtract 1 from the y-coordinate: (x+5, y-1).