Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the original figure and its image are congruent.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translations, rotations, and reflections.

Front

Define reflection in the context of rigid transformations.

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the effect of reflecting a point across the y-axis?

Back

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

Front

How do you perform a 90-degree counterclockwise rotation on a point (x, y)?

Back

To perform a 90-degree counterclockwise rotation on a point (x, y), the new coordinates will be (-y, x).

Front

What is the effect of translating a point 5 units left and 1 unit up?

Back

Translating a point (x, y) 5 units left and 1 unit up results in the new coordinates (x - 5, y + 1).

Front

What is the effect 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 difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips a figure over a line, changing its orientation.

Front

How do you identify a reflection transformation from a set of points?

Back

To identify a reflection transformation, compare the original points and their images to see if they are mirror images across a specific line.

Front

What is the coordinate transformation for a point (x, y) after a reflection across the line y = x?

Back

Reflecting a point (x, y) across the line y = x results in the point (y, x).