Transformations

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 is a transformation that slides a figure in a straight line from one position to another without changing its size or shape.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point called the center of rotation.

Front

What is a reflection?

Back

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

Front

What is dilation?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same.

Front

What does it mean for figures to be congruent?

Back

Figures are congruent if they have the same shape and size.

Front

What does it mean for figures to be similar?

Back

Figures are similar if they have the same shape but not necessarily the same size.

Front

How do you describe a translation mathematically?

Back

A translation can be described by an ordered pair (x, y) that indicates how far to move the figure in the x and y directions.

Front

What is the effect of a reflection across the x-axis?

Back

A reflection across the x-axis changes the sign of the y-coordinate of each point.