Transformations

Front

What is a transformation in geometry?

Back

A transformation is a change in the position, size, or shape of a figure.

Front

What are the four main types of transformations?

Back

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

Front

What does it mean to translate a figure?

Back

To translate a figure means to slide it in a straight line in a specific direction without changing its shape or size.

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

The coordinates change to (-x, -y).

Front

What is a congruent shape?

Back

Congruent shapes are figures that have the same shape and size.

Front

What is a rigid motion?

Back

A rigid motion is a transformation that preserves distance and angle measures, meaning the shape and size remain unchanged.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape.

Front

What is the image of a transformation?

Back

The image is the result of applying a transformation to a pre-image.

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.