Geometry Transformations Review

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 vector describes a translation to the right?

Back

The vector for a translation to the right is of the form , where a is a positive number.

Front

What is the rule for rotating a point 90 degrees counterclockwise around the origin?

Back

The rule is (x, y) → (-y, x).

Front

What is the result of reflecting a point across the x-axis?

Back

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

Front

What is the result of reflecting a point across the y-axis?

Back

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

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.

Front

What is the effect of a 270-degree counterclockwise rotation on a point (x, y)?

Back

The effect is (x, y) → (y, -x).

Front

How do you find the image of a segment under reflection?

Back

To find the image of a segment under reflection, reflect each endpoint of the segment across the line of reflection.

Front

What is the coordinate of a point after a 90-degree clockwise rotation around the origin?

Back

The coordinate transformation is (x, y) → (y, -x).

Front

What is the distance formula in geometry?

Back