Segments Angles Triangles Outline - MathBitsNotebook (Geo)

Segments, Angles and Triangles

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indicates compatibility to NY Next Generation Math Standards (NGMS)

LESSONS:

* calculator link

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Segments in Triangles (medians, altitudes, angle bisectors, perpendicular bisectors)

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Mid-Segments in Triangles (definition, examples, proofs of theorem)

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Vertical Angles (definition, examples, proofs of theorem)

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Sum of Interior Angles in a Triangle (examples, cut-up, various methods of proof)

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Exterior Angles in a Triangle (definition, examples, proof of theorem)

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Isosceles Triangles (definition, theorems, proofs of theorem, examples)

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Triangle Inequality ("in one triangle", theorems, examples)

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Hinge Theorem ("triangle inequaltiy in two triangles", theorems, examples)

PRACTICE:
•	Practice with Segments
•	Practice with Segments in Triangles
•	Practice with MidSegments
•	Practice with Angles
•	Practice with Angles in Triangles
•	Practice with Isosceles Triangles
•	Practice with Triangle Inequality
•	Practice with Hinge Theorem
•	Pre-Proof Reasoning
•	Practice with Proofs (using concepts from this unit)

REFRESHERS: (while these topics are mostly "review", you may also find new information here)
•	Segments (definition, Ruler Postulate, Segment Addition Postulate, midpoint, bisector)
•	All About Angles (definition, angle names, types of angles)
•	Pairs of Angles (adjacent, linear pair, vertical, complementary, supplementary, theorems)
•	Working with Angles (Angle Addition Postulate, bisect angle, angles about a pt, angles on a line)
•	Types of Triangles (classified by angles, classified by sides)