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#### Description:

In this activity, students graph polygons on a coordinate plane then choose whether to translate, reflect, revolve, or rotate the graph of the polygon. This activity allows students to explore these different transformations in the Cartesian coordinate system. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

#### Subjects:

• Mathematics > General

#### Keywords:

Informal Education,oai:nsdl.org:2200/20120614151516935T,Higher Education,Middle School,NSDL,Upper Elementary,High School,Elementary School Programming,Undergraduate (Lower Division),NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-016,Elementary School,Vocational/Professional Development Education,High School Programming,Mathematics,Middle School Programming

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

None
Update Standards?

#### CCSS.Math.Content.8.G.A.1: Common Core State Standards for Mathematics

Verify experimentally the properties of rotations, reflections, and translations:

#### CCSS.Math.Content.8.G.A.2: Common Core State Standards for Mathematics

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

#### CCSS.Math.Content.8.G.A.3: Common Core State Standards for Mathematics

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

#### CCSS.Math.Content.8.G.A.4: Common Core State Standards for Mathematics

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

#### CCSS.Math.Content.HSG-CO.A.2: Common Core State Standards for Mathematics

Represent transformations in the plane using, e.g., transparencies and geometry software; 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 (e.g., translation versus horizontal stretch).

#### CCSS.Math.Content.HSG-CO.A.3: Common Core State Standards for Mathematics

Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

#### CCSS.Math.Content.HSG-CO.A.4: Common Core State Standards for Mathematics

Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

#### CCSS.Math.Content.HSG-CO.B.6: Common Core State Standards for Mathematics

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.
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