Identify Transformations in the Coordinate Plane

Front

What is a transformation in the coordinate plane?

Back

A transformation is an operation that moves or changes a shape in the coordinate plane.

Front

Define translation in the context of transformations.

Back

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

Front

What is reflection in transformations?

Back

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

Front

Explain rotation in transformations.

Back

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

Front

What is the effect of a translation on the coordinates of a point (x, y)?

Back

A translation by (a, b) changes the coordinates to (x+a, y+b).

Front

How does reflection over the x-axis affect the coordinates of a point (x, y)?

Back

Reflection over the x-axis changes the coordinates to (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected over the y-axis?

Back

Reflection over the y-axis changes the coordinates to (-x, y).

Front

Describe the effect of a 90-degree rotation counterclockwise on the point (x, y).

Back

A 90-degree rotation counterclockwise changes the coordinates to (-y, x).

Front

What is the result of a 180-degree rotation on the point (x, y)?

Back

A 180-degree rotation changes the coordinates to (-x, -y).

Front

How do you perform a translation of a shape on a coordinate plane?

Back

To translate a shape, add the translation vector to each vertex of the shape.