Rigid Transformations Practice

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that moves every point of a figure the same distance in a specified direction.

Front

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

Back

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

Front

How do you rotate a point 90 degrees counterclockwise around the origin?

Back

To rotate a point (x, y) 90 degrees counterclockwise, the new coordinates will be (-y, x).

Front

What are the new coordinates of the point (a, b) after a 180-degree rotation around the origin?

Back

The new coordinates will be (-a, -b).

Front

If a point (x, y) is reflected across the y-axis, what are the new coordinates?

Back

The new coordinates will be (-x, y).

Front

What is the result of rotating a point 270 degrees clockwise around the origin?

Back

Rotating a point (x, y) 270 degrees clockwise is equivalent to rotating it 90 degrees counterclockwise, resulting in (y, -x).

Front

Describe the effect of a reflection across the line y = x.

Back

Reflecting a point (x, y) across the line y = x swaps the coordinates, resulting in (y, x).

Front

What is the sequence of transformations to map a figure onto itself?

Back

A sequence of transformations that maps a figure onto itself can include rotations, reflections, or translations that maintain the figure's position.

Front

How do you determine the coordinates of a point after a rotation?

Back

To determine the coordinates after a rotation, apply the appropriate rotation rules based on the angle and direction of rotation.