HSG-CO.B.6

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- HSG-CO.B.6Use 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.
- HSG-CO.B.7Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
- HSG-CO.B.8Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

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## HSG-CO.B.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.

25 Lesson(s)

### Transformations + Similarity

Geometry »
Unit: Sweet Similar Shapes

Geometry »
Unit: Sweet Similar Shapes

Big Idea:

#### Students will use a pair-share activity and activate their prior knowledge to discover how transformations connect to AA criterion.

Standards:

Favorites
(7)

Resources
(16)

Reflections
(1)

### From Perpendiculars to Parallels

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students consolidate and extend their knowledge of constructions related to bisectors: "A perpendicular to a perpendicular is a parallel."

Standards:

Favorites
(3)

Resources
(29)

Reflections
(2)

### Bisector Bonanza

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students use compass and straight-edge, aided by tracing paper and paper-folding, to explore the properties of bisectors, while gaining insights into the workings of transformations.

Standards:

Favorites
(3)

Resources
(26)

Reflections
(2)

### Reviewing Congruence

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students review homework and assess their progress. How much have we learned?

Standards:

Favorites
(2)

Resources
(27)

Reflections
(1)

### Discovering Similar Triangles

Geometry »
Unit: Sweet Similar Shapes

Geometry »
Unit: Sweet Similar Shapes

Big Idea:

#### Completing a hands-on activity, students will cut, categorize and discover properties of similar triangles.

Standards:

Favorites
(19)

Resources
(29)

Reflections
(5)

Big Idea:

#### Students will build on prior knowledge to develop a definition of congruence in terms of rigid motion.

Standards:

Favorites
(10)

Resources
(20)

Reflections
(1)

### Fall Interim Assessment

Geometry »
Unit: Fall Interim Assessment: Geometry Intro, Constructions and Rigid Motion

Geometry »
Unit: Fall Interim Assessment: Geometry Intro, Constructions and Rigid Motion

Big Idea:

#### This is a comprehensive assessment of Units 1, 2 and 3.

Standards:

Favorites
(4)

Resources
(6)

Reflections
(1)

### Rigid Motion, Congruent Triangles, and Proof

Geometry »
Unit: Polygons and Congruent Triangle Proofs

Geometry »
Unit: Polygons and Congruent Triangle Proofs

Big Idea:

#### Using the method of flow chart proofs, students begin to develop the skills necessary to understand and create congruent triangle proofs.

Standards:

Favorites
(3)

Resources
(14)

Reflections
(1)

### Rotations in the Coordinate Plane

8th Grade Math »
Unit: Transformations

8th Grade Math »
Unit: Transformations

### Congruent Triangles Based on Rigid Motions

Geometry »
Unit: Rigid Motions

Geometry »
Unit: Rigid Motions

Big Idea:

#### Students will examine triangles on the coordinate plane and use rigid motions to show two triangles are congruent.

Standards:

Favorites
(9)

Resources
(20)

Reflections
(2)

### Dilation Nation

Geometry »
Unit: Transformers and Transformations

Geometry »
Unit: Transformers and Transformations

Big Idea:

#### Students will review transformations using a brain pop and learn how to geometrically enlarge and shrink shapes.

Standards:

Favorites
(3)

Resources
(15)

### Four Triangles

Geometry »
Unit: Creating Classroom Culture to Develop the Math Practices

Geometry »
Unit: Creating Classroom Culture to Develop the Math Practices

Big Idea:

#### Students will engage in a hands-on activity through which they will be introduced to the notion of proof by exhaustion as well as one of the big ideas of geometry: classifying and differentiating.

Standards:

Favorites
(8)

Resources
(19)

Reflections
(1)

### Four Triangles Sorting Activity

Geometry »
Unit: Creating Classroom Culture to Develop the Math Practices

Geometry »
Unit: Creating Classroom Culture to Develop the Math Practices

Big Idea:

#### Students will take risks and build a sense of community as they share working definitions of their criterion and show how their four-triangle figures exemplify that criterion with their peers.

Standards:

Favorites
(2)

Resources
(18)

Reflections
(2)

### Rigid Motion and Congruence Unit Quiz

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students complete the summative assessment for the unit. Game Day!

Standards:

Favorites
(1)

Resources
(16)

### Triangle Construction Site

Geometry »
Unit: Triangles and Congruence

Geometry »
Unit: Triangles and Congruence

Big Idea:

#### Students use an online simulation to build triangles from sets of parts and discover minimum conditions for proving triangles congruent.

Standards:

Favorites
(4)

Resources
(15)

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