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 reflection in geometry?

Back

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

Front

Explain what a translation is in geometric transformations.

Back

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

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

True or False: A transformation can change the size of a figure.

Back

False. A transformation such as rotation, reflection, or translation does not change the size of a figure; only dilation changes size.

Front

What is the line of reflection in a reflection transformation?

Back

The line of reflection is the line over which a figure is flipped to create a mirror image.

Front

How does a dilation transformation differ from other transformations?

Back

Dilation is a transformation that changes the size of a figure while maintaining its shape, unlike other transformations that preserve size.

Front

What is the center of rotation?

Back

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