Rigid Transformations Flashcard

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

What are the three types of rigid transformations?

Back

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

Front

Define translation in geometry.

Back

Translation is a type of transformation that moves every point of a figure the same distance in the same direction.

Front

What is the rule for a translation that moves a point (x, y) to the right by 3 units and up by 2 units?

Back

The rule is (x + 3, y + 2).

Front

What does it mean to reflect a figure across the x-axis?

Back

Reflecting a figure across the x-axis means that each point of the figure is mapped to a point directly opposite it on the other side of the x-axis.

Front

How do you perform a 90° clockwise rotation of a point (x, y)?

Back

To perform a 90° clockwise rotation, the new coordinates will be (y, -x).

Front

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

Back

The effect of a reflection across the y-axis on the point (x, y) is that it becomes (-x, y).

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates after a translation of (x - 2, y + 3)?

Back

The new coordinates will be A(-1, 5), B(1, 7), and C(3, 9).

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a fixed point, while reflection flips a figure over a line.

Front

What is the coordinate rule for a 180° rotation about the origin?

Back

The coordinate rule for a 180° rotation about the origin is (x, y) becomes (-x, -y).