Transformations Orientation & Congruence

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, called the image.

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Front

What is a translation?

Back

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

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, by a certain angle.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a shape but maintains its shape and orientation.

Front

What does it mean for two shapes to be congruent?

Back

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

Front

What does it mean for a transformation to maintain orientation?

Back

A transformation maintains orientation if the order of points in the shape remains the same after the transformation.

Front

What does it mean for a transformation to maintain congruence?

Back

A transformation maintains congruence if the size and shape of the original figure are preserved in the image.

Front

What is the effect of a translation on orientation and congruence?

Back

A translation maintains both the orientation and congruence of the shape.