Rigid Transformation Sequences

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 is a reflection in geometry?

Back

A reflection is a rigid transformation that flips a figure over a line, creating a mirror image.

Front

Explain rotation in rigid transformations.

Back

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

Front

What does it mean for transformations to be 'sequential'?

Back

Sequential transformations refer to performing multiple transformations one after the other, where the output of one transformation becomes the input for the next.

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

The reflection across the x-axis transforms the point (x, y) to (x, -y).

Front

How does a translation of 2 units to the right affect a point (x, y)?

Back

A translation of 2 units to the right transforms the point (x, y) to (x + 2, y).

Front

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

Back

A 90-degree counter-clockwise rotation transforms the point (x, y) to (-y, x).

Front

What is preserved during rigid transformations?

Back

Rigid transformations preserve size, shape, angle measurements, area, perimeter, and parallel lines.

Front

What is NOT preserved during rigid transformations?

Back

Rigid transformations do not preserve location and orientation of the figure.