Transformations & Symmetry

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

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 reflection in geometry?

Back

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

Front

What is dilation in geometry?

Back

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

Front

How do you identify a translation?

Back

A translation can be identified by the change in coordinates of a shape, where each point moves the same distance in the same direction.

Front

What does it mean for a figure to have line symmetry?

Back

A figure has line symmetry if it can be divided into two identical halves that are mirror images of each other.

Front

What is point symmetry?

Back

Point symmetry exists when a figure is unchanged when rotated 180 degrees around a central point.

Front

How do you perform a reflection across the x-axis?

Back

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