Translations, Reflections and Rotations

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

What does it mean to reflect a shape?

Back

To reflect a shape means to flip it over a line (the line of reflection) to create a mirror image.

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, by a certain angle.

Front

What is the ordered pair format?

Back

An ordered pair is written as (x, y), where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

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

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Front

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

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Front

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

Back

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

Front

What is the result of translating a point (x, y) right 3 units and down 2 units?

Back

The new point will be (x + 3, y - 2).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected to create a mirror image.

Front

What does it mean to slide a shape in geometry?

Back

Sliding a shape refers to translating it without changing its orientation or size.