Composite Transformations Flashcard

Front

What are composite transformations in geometry?

Back

Composite transformations are combinations of two or more transformations applied to a figure in a specific order.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What does it mean to reflect a figure over the x-axis?

Back

Reflecting a figure over the x-axis means flipping the figure across the x-axis, changing the sign of the y-coordinates of the points.

Front

What is the effect of translating a figure?

Back

Translating a figure means moving it from one location to another without changing its shape, size, or orientation.

Front

How do you perform a 90-degree rotation counterclockwise about the origin?

Back

To perform a 90-degree rotation counterclockwise about the origin, switch the coordinates of each point (x, y) to (-y, x).

Front

What is the order of transformations, and why is it important?

Back

The order of transformations is crucial because changing the sequence can lead to different final positions and orientations of the figure.

Front

What is the transformation from Triangle ABC to Triangle A''B''C'' if it involves a rotation and reflection?

Back

The transformation involves a rotation of 90 degrees followed by a reflection over the x-axis.

Front

What does it mean to translate a figure right by 6 units?

Back

Translating a figure right by 6 units means adding 6 to the x-coordinates of all points in the figure.

Front

What is the result of a reflection over the y-axis?

Back

Reflecting a figure over the y-axis changes the sign of the x-coordinates of the points.

Front

What is the difference between a rotation and a reflection?

Back

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