Unit 2 Transformations

in the Coordinate Plane

in the Coordinate Plane

In this unit, students review the definitions of three types of transformations that preserve distance and angle:

• The concepts of congruence, similarity, and symmetry can be understood from the perspective of geometric transformation.

• Fundamental are the rigid motions: translations, rotations, reflections, and combinations of these, all of which are here assumed to preserve distance and angles (and therefore shapes in general).

• Reflections and rotations each explain a particular type of symmetry, and the symmetries of an object offer insight into its attributes.

By the conclusion of this unit, students should be able to demonstrate the following competencies:

• describe and compare function transformations on a set of points as inputs to produce another set of points as *outputs, including translations and horizontal or vertical stretching

represent and compare rigid and size transformations of figures in a coordinate plane using various tools such as transparencies, geometry software, interactive whiteboards, waxed paper, tracing paper, mirrors and digital visual presenters.

• compare transformations that preserve size and shape versus those that do not.

• describe rotations and reflections of parallelograms, trapezoids or regular polygons that map each figure onto itself.

• develop and understand the meanings of rotation, reflection and translation based on angles, circles, perpendicular lines, parallel lines and line segments.

• transform a figure given a rotation, reflection or translation using graph paper, tracing paper, geometric software or other tools.

• create sequences of transformations that map a figure onto itself or to another figure.

For

**rotations, reflections, and translations.**They investigate how these transformations are applied in the coordinate plane as functions, mapping pre-image points (inputs) to image points (outputs). Using their knowledge of basic geometric figures and special polygons, they apply these transformations to obtain images of given figures. They also specify transformations that can be applied to obtain a given image from a given pre-image, including cases in which the image and pre-image are the same figure.• The concepts of congruence, similarity, and symmetry can be understood from the perspective of geometric transformation.

• Fundamental are the rigid motions: translations, rotations, reflections, and combinations of these, all of which are here assumed to preserve distance and angles (and therefore shapes in general).

• Reflections and rotations each explain a particular type of symmetry, and the symmetries of an object offer insight into its attributes.

By the conclusion of this unit, students should be able to demonstrate the following competencies:

• describe and compare function transformations on a set of points as inputs to produce another set of points as *outputs, including translations and horizontal or vertical stretching

represent and compare rigid and size transformations of figures in a coordinate plane using various tools such as transparencies, geometry software, interactive whiteboards, waxed paper, tracing paper, mirrors and digital visual presenters.

• compare transformations that preserve size and shape versus those that do not.

• describe rotations and reflections of parallelograms, trapezoids or regular polygons that map each figure onto itself.

• develop and understand the meanings of rotation, reflection and translation based on angles, circles, perpendicular lines, parallel lines and line segments.

• transform a figure given a rotation, reflection or translation using graph paper, tracing paper, geometric software or other tools.

• create sequences of transformations that map a figure onto itself or to another figure.

For

**please go to the**__Video assistance,____usatestprep.com__website and visit the following segments...**Determining the Coordinates of a Reflection****Determining the Coordinates of a Translation****Dialations in the Coordinate Plane****Reflect Figures****Rotational Symmetry****Rotations of the Coordinate Plane****Transformations****Translation: Horizontal****Translations: Vertical****Unit 2 Study Guide(s) 2017-2019**

geo.unit.2._study.guide_key_19-20.pdf | |

File Size: | 266 kb |

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day_17_-_unit_1_review_2.docx | |

File Size: | 295 kb |

File Type: | docx |

unit_1_test_review__lj__2018_cotaught.docx | |

File Size: | 503 kb |

File Type: | docx |