Unit 1 Transformations in the Coordinate Plane

Front

What is a transformation in the coordinate plane?

Back

A transformation in the coordinate plane is an operation that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

Define translation in the context of transformations.

Back

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

Front

What does reflection mean in transformations?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is rotation in the context of transformations?

Back

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

Front

What is the rule for reflecting a point over the y-axis?

Back

The rule for reflecting a point (x, y) over the y-axis is (−x, y).

Front

What is the rule for reflecting a point over the x-axis?

Back

The rule for reflecting a point (x, y) over the x-axis is (x, −y).

Front

How do you identify a translation in coordinate notation?

Back

A translation can be identified in coordinate notation as (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What is the effect of a 90-degree rotation counterclockwise on a point (x, y)?

Back

The effect of a 90-degree rotation counterclockwise on a point (x, y) is (−y, x).

Front

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

Back

The effect of a 270-degree rotation counterclockwise on a point (x, y) is (y, −x).

Front

If point A is at (3, 2) and is reflected over the y-axis, what are the coordinates of A'?

Back

The coordinates of A' after reflection over the y-axis are (−3, 2).