Congruence
 
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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(15)
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)
Resources
(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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(7)
Resources
(10)
Big Idea:
Students will write formal proofs showing how triangles are congruent when two corresponding angles and the included side are congruent.
Standards:
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(3)
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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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(3)
Resources
(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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(4)
Resources
(6)
Reflections
(1)
Big Idea:
Students will create a graphic organizer to show the ways triangles are congruent.
Standards:
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(9)
Resources
(22)
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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(3)
Resources
(14)
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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(5)
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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(3)
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)
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)
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)
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Second Grade
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Kindergarten
First grade
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Third Grade
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