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 types of transformations?

Back

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

Front

What does it mean for a transformation to preserve congruence?

Back

A transformation preserves congruence if the original shape and the transformed shape are identical in size and shape.

Front

What does it mean for a transformation to preserve orientation?

Back

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

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 at a certain angle.

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 or orientation.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What is the result of reflecting a shape across the x-axis?

Back

The y-coordinates of the points of the shape change sign, while the x-coordinates remain the same.

Front

What is the result of reflecting a shape across the y-axis?

Back

The x-coordinates of the points of the shape change sign, while the y-coordinates remain the same.