Rigid Transformations and Symmetry

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define line of symmetry.

Back

A line that divides a figure into two mirror-image halves.

Front

What is the result of reflecting a point (x, y) over the line y = x?

Back

The result is the point (y, x).

Front

What does it mean to translate a figure?

Back

To move a figure from one position to another without changing its shape or orientation.

Front

What is the sequence of transformations?

Back

The order in which transformations are applied to a figure.

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point over the x-axis?

Back

Change the sign of the y-coordinate of the point.

Front

What is a glide reflection?

Back

A transformation that combines a reflection over a line and a translation along that line.

Front

What is the effect of rotating a figure 90 degrees clockwise?

Back

The coordinates of a point (x, y) become (y, -x).

Front

What is the axis of symmetry?

Back

A line that divides a figure into two congruent parts that are mirror images.