Rigid Transformation rules/vocab

Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation of a figure?

Back

You describe a translation by specifying the distance and direction, such as 'Translate 3 up and 4 right'.

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

How do you describe a rotation of a figure?

Back

You describe a rotation by specifying the angle and the direction (clockwise or counterclockwise), such as 'Rotate 90 degrees clockwise about the origin'.

Front

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

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Front

What is the image of a figure after a transformation?

Back

The image of a figure is the result of applying a transformation to the original figure.

Front

What is reflection in geometry?

Back

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

Front

How do you describe a reflection over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, its coordinates change to (x, -y).

Front

What is the difference between translation and rotation?

Back

Translation moves a figure without changing its orientation, while rotation turns a figure around a point, changing its orientation.

Front

What is the effect of a 180-degree rotation about the origin on a point (x, y)?

Back

The point (x, y) becomes (-x, -y) after a 180-degree rotation about the origin.