Geometry Chapter on Transformations

Rotation

• the result of moving a figure according to a transformation.

• A rule that assigns to each point of a figure another point in the plane, called its image.

• a rule that describes how to transform points on a coordinate plane

• An isometry that is turned around a fixed point.

translation

• A two-step transformation that occurs when a translation and a reflection are combined.

• Two-fold symmetry

• the result of moving a figure according to a transformation.

• an isometry which each point is moved by the same translation vector

composition of transformations

• A transformation in which every point and its image are on opposite sides and the same distance from a fixed line.

• A transformation that preserves size and shape.

• the result of moving a figure according to a transformation.

• Two or more transformations that can be described as a single transformation.

Rigid transformation

• A directed line segment from a point to its translated image.

• A transformation that preserves its size and shape. Also called an isometry

• Two-fold symmetry

• a line of reflection of a figure having reflectional symmetry

reflection

• a rule that describes how to transform points on a coordinate plane

• Two or more transformations that can be described as a single transformation.

• A transformation in which every point and its image are on opposite sides and the same distance from a fixed line.

• An isometry that is turned around a fixed point.

ordered pair rule

• A rule that assigns to each point of a figure another point in the plane, called its image.

• a line of reflection of a figure having reflectional symmetry

• a rule that describes how to transform points on a coordinate plane

• The property that a figure coincides with itself under a reflection.

glide reflection

• the original figure of a transformation

• A transformation in which every point and its image are on opposite sides and the same distance from a fixed line.

• A two-step transformation that occurs when a translation and a reflection are combined.

• a line of reflection of a figure having reflectional symmetry

transformation

• a rule that describes how to transform points on a coordinate plane

• Two-fold symmetry

• A rule that assigns to each point of a figure another point in the plane, called its image.

• Two or more transformations that can be described as a single transformation.

translation vector

• Two or more transformations that can be described as a single transformation.

• a rule that describes how to transform points on a coordinate plane

• A transformation in which every point and its image are on opposite sides and the same distance from a fixed line.

• A directed line segment from a point to its translated image.

point symmetry

• a line of reflection of a figure having reflectional symmetry

• A two-step transformation that occurs when a translation and a reflection are combined.

• The property that a figure coincides with itself under a rotation of 180 degrees. Also called two-fold rotational symmetry

• A transformation that preserves its size and shape. Also called an isometry