HSG-CO.B.8

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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.8

## Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

16 Lesson(s)

### Discovering Triangle Congruence Shortcuts

Geometry »
Unit: Discovering and Proving Triangle Properties

Geometry »
Unit: Discovering and Proving Triangle Properties

Big Idea:

#### Through construction, students will work in pairs to test "shortcuts" to use when proving triangles congruent.

Standards:

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(14)

Resources
(14)

Reflections
(1)

### Tremendous Triangles Projects

Geometry »
Unit: Tremendous Triangles

Geometry »
Unit: Tremendous Triangles

Big Idea:

#### It's students' time to shine! Students develop their own problem and then shoot a video to explain how to prove their triangles congruent.

Standards:

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(9)

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(12)

Reflections
(1)

Big Idea:

#### It's time for Jeopardy! In this review lesson, students will play Jeopardy to review key topics covered in the Geometry curriculum like transformations and perpendicular bisectors.

Standards:

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(5)

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(10)

Big Idea:

#### Students will write formal proofs showing how triangles are congruent when two corresponding angles and the included side are congruent.

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(2)

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(18)

Reflections
(1)

Big Idea:

#### Students will color, highlight and mark-up diagrams to uncover congruent triangles and prove the triangles are congruent.

Standards:

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(2)

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(19)

Reflections
(2)

### 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:

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(3)

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:

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(2)

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(14)

Reflections
(1)

Big Idea:

#### Students will create a graphic organizer to show the ways triangles are congruent.

Standards:

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(7)

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(22)

Reflections
(1)

Big Idea:

#### Students will work with a partner to discover two more theorems as they explore why ASA and AAS congruence proves triangles are congruent.

Standards:

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(4)

Resources
(22)

Reflections
(2)

Big Idea:

#### In this student-centered lesson, students will explore and explain why the SAS congruence theorem works to prove triangles congruent.

Standards:

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(4)

Resources
(35)

Reflections
(5)

### HL and More Practice with Proofs

Geometry »
Unit: Tremendous Triangles

Geometry »
Unit: Tremendous Triangles

Big Idea:

#### SAS, AAS, SSS, ASA and now HL are all in the mix as students try to prove triangles congruent using any of these congruence theorems.

Standards:

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(2)

Resources
(24)

Reflections
(2)

Big Idea:

#### Students will write formal proofs showing how triangles are congruent when all three corresponding sides are congruent.

Standards:

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(2)

Resources
(13)

### Regular Polygons

Geometry »
Unit: Polygons and Congruent Triangle Proofs

Geometry »
Unit: Polygons and Congruent Triangle Proofs

Big Idea:

#### The students work together, applying their knowledge of polygons to numerical problems involving regular polygons.

Standards:

Resources
(17)

Reflections
(1)

### Common Core Geometry Midcourse Assessment Day 2 of 2

Geometry »
Unit: Common Core Geometry Midcourse Assessment

Geometry »
Unit: Common Core Geometry Midcourse Assessment

Big Idea:

#### This is the second day of a two day midcourse assessment. It covers content from the units on geometric proofs.

Standards:

Resources
(4)

### End of Year Assessment Review Day 1 of 4

Geometry »
Unit: Final Assessment

Geometry »
Unit: Final Assessment

Big Idea:

#### In this lesson, students practice problems involving concepts from the units on constructions, transformations and rigid motions in order to review for the final assessment.

Standards:

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(1)

Resources
(9)

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