Rigid Transformation rules/vocab

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure's dimensions remain unchanged.

Front

What are the three main types of rigid transformations?

Back

The three main types of rigid transformations are translation, rotation, and reflection.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that slides a figure from one position to another without changing its shape, size, or orientation.

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), creating a mirror image.

Front

What is rotation in rigid transformations?

Back

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

Front

How do you determine the image of a point after a translation?

Back

To determine the image of a point after a translation, you add the translation vector to the original coordinates of the point.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

If a point X is at (2, 3) and is translated 3 units left and 2 units down, what are the coordinates of the image X'?

Back

The coordinates of the image X' would be (-1, 1).

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

The effect of a 90-degree clockwise rotation on a point (x, y) is to transform it to (y, -x).

Front

What does it mean for a transformation to be isometric?

Back

A transformation is isometric if it preserves distances and angles, meaning the original figure and its image are congruent.