Lesson 8: Rigid Transformations on the Coordinate Plane

Vocabulary flashcards covering the key terms and concepts of rigid transformations on a coordinate plane based on Lesson 8 notes.

Rigid Transformation

A transformation, such as translation, rotation, or reflection, that maps a preimage onto its image on the coordinate plane while preserving the size and shape of the figure.

Preimage

The original figure, such as $\triangle ABC$, before any transformations have been applied.

Image

The resulting figure, such as $\triangle A'B'C'$, after a sequence of transformations has been performed on a preimage.

Translation

A rigid motion that slides a figure along the coordinate plane, often described by a directed line segment or as moving a specific number of units in horizontal and vertical directions.

Directed Line Segment

A segment used to define the specific distance and direction of a translation, for example, the segment from $A$ to $A'$.

Reflection

A rigid motion that flips a figure over a line of reflection, such as the $x$-axis, the $y$-axis, or a line like $x = -2$.

Rotation

A rigid motion that turns a figure around a fixed center of rotation by a specific angle and direction, such as $90^{\circ}$ clockwise.

Sequence of Transformations

A series of two or more rigid motions performed in a specific order to map a preimage onto an image.

Coordinate Plane

A two-dimensional surface defined by an $x$-axis and a $y$-axis where ordered pairs are used to describe the locations of points and figures.

Center of Rotation

The fixed point on the coordinate plane around which a figure is turned during a rotation.