Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the four main types of transformations?

Back

Translation, Rotation, Reflection, and Dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves a shape from one location to another without changing its size, shape, or orientation.

Front

What does it mean to reflect a shape?

Back

To reflect a shape means to flip it 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.

Front

How do you describe a translation?

Back

A translation can be described by how far and in which direction a shape moves, often using coordinates.

Front

What is the difference between a translation and a reflection?

Back

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

Front

What is the center of rotation?

Back

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

Front

If a shape is translated 5 units left and 3 units down, what is the new position?

Back

The new position is found by subtracting 5 from the x-coordinate and 3 from the y-coordinate of the original position.

Front

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

Back

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