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, reflections, and rotations.

Front

How does a reflection over the y-axis affect the coordinates of a point?

Back

A reflection over the y-axis changes the sign of the x-coordinate of a point, while the y-coordinate remains the same.

Front

What is the result of reflecting the point (-5, 2) over the y-axis?

Back

The new point is (5, 2).

Front

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

Back

The new coordinates after a 90-degree clockwise rotation are (y, -x).

Front

What is the result of rotating the point (3, -5) 270 degrees clockwise?

Back

The new point is (5, 3).

Front

What does it mean for a transformation to be congruent?

Back

A transformation is congruent if it preserves the size and shape of the original figure, resulting in figures that are identical in form.

Front

What is a translation in the context of rigid transformations?

Back

A translation is a rigid transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What happens to the coordinates of a point during a reflection over the x-axis?

Back

During a reflection over the x-axis, the y-coordinate of a point changes sign, while the x-coordinate remains the same.

Front

Which transformation is NOT a rigid transformation?

Back

Any transformation that alters the size or shape of a figure, such as dilation, is NOT a rigid transformation.