Translation, Reflection, Rotation Pre-Alg

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a figure 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 does it mean to reflect a figure?

Back

To reflect a figure means to flip it over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure 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 figure without changing its orientation, while reflection flips it over a line, changing its orientation.

Front

What is the effect of a 90-degree rotation on a point (x, y)?

Back

A 90-degree rotation counterclockwise around the origin transforms the point (x, y) to (-y, x).

Front

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

Back

A 180-degree rotation around the origin transforms the point (x, y) to (-x, -y).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is flipped to create its mirror image.

Front

What is dilation in geometry?

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure.