Unit 1 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, including translations, rotations, reflections, and dilations.

Front

Define reflection in the context of transformations.

Back

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

Front

What is the rule for reflecting a point (x, y) over the y-axis?

Back

The rule is (x, y) -> (-x, y).

Front

What is the rule for reflecting a point (x, y) over the x-axis?

Back

The rule is (x, y) -> (x, -y).

Front

Define translation in the coordinate plane.

Back

Translation is a transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

What is the rule for translating a point (x, y) by (a, b)?

Back

The rule is (x, y) -> (x + a, y + b).

Front

What is a rotation in the coordinate plane?

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation.

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The rule is (x, y) -> (-y, x).

Front

What is the difference between a reflection and a rotation?

Back

A reflection creates a mirror image over a line, while a rotation turns a figure around a point.

Front

What does it mean to reflect a shape over the x-axis?

Back

To reflect a shape over the x-axis, each point (x, y) of the shape is transformed to (x, -y).