Sequences of Transformations 3.1-3.2

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 in a specified direction.

Front

What is a rigid motion?

Back

A rigid motion is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent to its pre-image.

Front

What is a congruence transformation?

Back

A congruence transformation is a transformation that results in a figure that is congruent to the original figure, including rotations, translations, and reflections.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, resulting in a similar figure.

Front

What does it mean to reflect a figure?

Back

To reflect a figure means to flip it over a line (the line of reflection) to create a mirror image.

Front

What is the effect of rotating a figure 360 degrees?

Back

Rotating a figure 360 degrees returns it to its original position.

Front

What is the sequence of transformations?

Back

A sequence of transformations is a series of transformations applied to a figure, such as rotations, translations, and reflections, to achieve a desired position or orientation.

Front

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

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

What is the result of translating a point (x, y) by (x+5, y-8)?

Back

Translating the point (x, y) by (x+5, y-8) results in the point (x+5, y-8).

Front

What is the difference between a rotation and a reflection?

Back

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