Identify 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 produce a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation (slide), rotation (turn), reflection (flip), and dilation (resize).

Front

Define rotation in the context of transformations.

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a reflection in geometry?

Back

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

Front

What does it mean for two figures to be congruent?

Back

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

Front

What is the difference between a rotation and a reflection?

Back

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

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape, either enlarging or reducing it.

Front

How does a transformation affect the dimensions of a figure?

Back

Some transformations, like rotation and reflection, do not change the dimensions of a figure, while dilation does change the dimensions.

Front

What is the center of rotation?

Back

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