[Math Models]

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) down 9 and right 4?

Back

The new coordinates will be (x + 4, y - 9).

Front

What is a reflection in geometry?

Back

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

Front

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

Back

The new coordinates will be (x, -y).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What are the coordinates of a point (x, y) after a 180° rotation about the origin?

Back

The new coordinates will be (-x, -y).

Front

What is the effect of a 360° rotation on a shape?

Back

A 360° rotation returns the shape to its original position.

Front

What is the sequence of transformations?

Back

A sequence of transformations is a series of operations applied to a shape, such as translations, rotations, and reflections.

Front

How do you reflect a point (6, -3) over the x-axis?

Back

The reflected point will be (6, 3).

Front

What is the result of reflecting a shape over the y-axis?

Back

The x-coordinates of the points of the shape will change sign, resulting in (-x, y).