Embed Size (px)
DESCRIPTION
Citation preview
Compositions of Isometries
Essential UnderstandingYou can express all isometries as a composition of reflectionsObjectives
Students will be able to find compositions of isometries, including glide reflections and classify isometries.
Iowa Common Core StandardsG.CO.2 - Represent transformations in the plane, describe
transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not
G.CO.5 - Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, graph paper. Specify a sequence of transformations that will carry a given figure onto another
G.CO.6 - Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent
IsometryTransformation that preserves distance or
lengthTranslationsReflectionsRotations
The composition of two or more isometries is an isometry
Four Kinds of Isometries
Examples on SketchpadReflections over parallel linesReflections over intersecting linesGlide Reflections
Glide ReflectionComposition of a translation and a reflection
across a line parallel to the direction of translation
HomeworkPg. 574#6 – 36 (3s)11 problems
Images from Sketchpad
Parallel Lines
Parallel Lines
Intersecting Lines
Intersecting Lines
Glide Reflection
Glide Reflection
