Translation, Reflection, Rotation

Front

What is translation in geometry?

Back

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) by (a, b)?

Back

To translate a point (x, y) by (a, b), you add a to x and b to y, resulting in the new point (x + a, y + b).

Front

What is reflection in geometry?

Back

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

Front

What is rotation in geometry?

Back

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 difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips it over a line.

Front

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

Back

Reflecting a shape over the x-axis means that for every point (x, y), the new point will be (x, -y).

Front

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

Back

Reflecting a shape over the y-axis means that for every point (x, y), the new point will be (-x, y).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is turned during a rotation.

Front

How do you determine the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a shape is turned around the center of rotation.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, including translation, reflection, rotation, and dilation.