Unit 5 relationships in triangles homework 9 triangle inequalities and algebra

Priority Standard:  Make formal geometric constructions with a variety of tools and methods​
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​     1. I can identify and use the properties of midsegments in triangles to find unknown measures.
     2. I can identify and use the properties of perpendicular bisectors (circumcenter) in triangles to find unknown    
         measures.
     3. I can identify and use the properties angles bisectors (incenter) in triangles to find unknown measures.
     4. I can identify and use the properties medians (centroid) in triangles to find unknown measures.
     5. I can identify the altitudes (orthocenter) in triangles.
     6. I can use the relationships between sides and angles in triangles to find unknown measures.
     7. I can use inequalities to make comparisons in two triangles

Unit 5: Relationships within Triangles Resources
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Unit 5- Relationships within Triangles Note Packet: Blank Copy

​Unit 5- Section #1: Midsegment Theorem (pg. 2-3)
          Midsegment Theorem Lesson: Guided Notes
          Lesson Videos:
​               Midsegment Theorem and Examples #1-2
​               Examples #3-5
          Unit 5- Worksheet #1: Midsegments Worksheet
          Unit 5- Worksheet #1: Answer Key

Unit 5- Section #2: Use Perpendicular Bisectors of Triangles (pg. 4-6)
          Use Perpendicular Bisectors of Triangles Lesson: Guided Notes
          Lesson Videos:
​               Use Perpendicular Bisectors of Triangles: Video
          Unit 5- Worksheet #2:  Perpendicular Bisector Worksheet 
          Unit 5- Worksheet #2: Answer Key

Unit 5- Section #3: Use Angle Bisectors of Triangles (pg. 6-8)
          Use Angle Bisectors of Triangles Lesson: Guided Notes
          Lesson Videos:
​               Use Angle Bisectors of Triangles: Video
          Unit 5- Worksheet #3:  Angle Bisector Worksheet
          Unit 5- Worksheet #3: Answer Key 

Unit 5- Section #4: Use Medians and Altitudes (pg. 8-10)
          Use Medians and Altitudes Lesson: Guided Notes
          Lesson Videos:
​               Use Medians and Altitudes: Video
          Unit 5- Worksheet #4: Medians and Altitudes
          Unit 5- Worksheet #4: Answer Key

Unit 5- Section #5: Use Inequalities in Triangles (pg. 11-12)
          Use Inequalities in Triangles Lesson: Guided Notes
          Lesson Videos:
​               Use Inequalities in Triangles and The Hinge Theorem: Video
          Unit 5- Worksheet #5:Use Inequalities in Triangles and Hinge Theorem
          Unit 5- Worksheet #5: Answer Key

Unit 5- Section #6: The Hinge Theorem (pg. 12-13) 
          The Hinge Theorem Lesson: Guided Notes
          Lesson Videos:
​               Use Inequalities in Triangles and The Hinge Theorem: Video
          Unit 5- Worksheet #5:Use Inequalities in Triangles and Hinge Theorem
          Unit 5- Worksheet #5: Answer Key

Unit 5- Review Material 
          Unit 5- Relationships in Triangles: Assessment Review 
          Unit 5- Relationships in Triangles Assessment Review: Answer Key