6.1 - 6.4 CW Flashcardizz -Transformations in 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 rotation in the context of transformations.

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specified direction.

Front

What is the rule for a 90-degree clockwise rotation about the origin?

Back

The rule for a 90-degree clockwise rotation is (x, y) → (y, -x).

Front

Explain dilation in transformations.

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

What is the rule for dilation with a scale factor of 2?

Back

The rule for dilation with a scale factor of 2 is (x, y) → (2x, 2y).

Front

How does reflecting a point across the x-axis affect its coordinates?

Back

Reflecting a point (x, y) across the x-axis changes its coordinates to (x, -y).

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

Reflecting a point (x, y) across the y-axis changes its coordinates to (-x, y).

Front

Describe the effect of a 180-degree rotation about the origin.

Back

A 180-degree rotation about the origin changes the coordinates of a point (x, y) to (-x, -y).

Front

What is the sequence of transformations?

Back

A sequence of transformations is a series of operations applied to a figure, such as rotating, reflecting, or translating it.

Front

What does it mean to translate a figure in the coordinate plane?

Back

Translating a figure means moving it from one location to another without changing its shape or orientation.