sequence of 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, rotation, reflection, and dilation.

Front

What does it mean to translate a figure?

Back

To translate a figure means to slide it in a straight line from one position to another without changing its shape, size, or orientation.

Front

How does a rotation transformation work?

Back

A rotation transformation turns a figure around a fixed point, known as the center of rotation, by a specified 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.

Front

What is the effect of a 90-degree counterclockwise rotation?

Back

A 90-degree counterclockwise rotation turns a figure 90 degrees in the counterclockwise direction around a specified point.

Front

What is the result of reflecting a figure over the x-axis?

Back

Reflecting a figure over the x-axis flips it vertically, changing the sign of the y-coordinates of its points.

Front

What happens when a figure is reflected over the y-axis?

Back

Reflecting a figure over the y-axis flips it horizontally, changing the sign of the x-coordinates of its points.

Front

What is a sequence of transformations?

Back

A sequence of transformations is a series of two or more transformations applied to a figure in a specific order.

Front

How can you describe a transformation that maps one triangle onto another?

Back

You can describe it by specifying the type of transformations (e.g., reflection, rotation, translation) and their order.