Transformations

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 create a new shape.

Front

What are the three main types of transformations?

Back

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

Front

What is a translation?

Back

A translation is a transformation that slides a shape from one position to another without turning it.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

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

Front

What does it mean for shapes to be congruent?

Back

Shapes are congruent if they have the same size and shape, meaning one can be transformed into the other through translations, reflections, or rotations.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped during a reflection transformation.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is turned during a rotation transformation.

Front

How does a translation affect the coordinates of a shape?

Back

In a translation, the coordinates of each point of the shape are changed by adding the same value to the x and y coordinates.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a point, while a reflection flips a shape over a line.