Transformations review

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

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

Front

What is a translation?

Back

A translation moves a shape a certain distance in a specified direction without changing its size or orientation.

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is a reflection?

Back

A reflection flips a shape over a line, creating a mirror image.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a shape by a scale factor, while keeping its shape proportional.

Front

How do you calculate the new coordinates of a point after dilation?

Back

Multiply the original coordinates by the scale factor.

Front

What does it mean for a transformation to preserve congruence?

Back

A transformation preserves congruence if the original shape and the transformed shape are the same size and shape.

Front

Which transformations preserve congruence?

Back

Reflections, rotations, and translations preserve congruence.

Front

Which transformation does not preserve congruence?

Back

Dilation does not preserve congruence because it changes the size of the shape.